Cremona's table of elliptic curves

34848 = 2⁵ · 3² · 11²

Field	Data	Notes
Atkin-Lehner	2+ 3- 11-	Signs for the Atkin-Lehner involutions
Class	34848be	Isogeny class
Conductor	34848	Conductor
∏ cp	8	Product of Tamagawa factors cp
deg	276480	Modular degree for the optimal curve
Δ	-139976597152567296 = -1 · 212 · 324 · 112	Discriminant
Eigenvalues	2+ 3- -3  2 11- -1  1  0	Hecke eigenvalues for primes up to 20
Equation	[0,0,0,49236,-17502496]	[a1,a2,a3,a4,a6]
Generators	[202:828:1]	Generators of the group modulo torsion
j	36534162368/387420489	j-invariant
L	4.783627412596	L(r)(E,1)/r!
Ω	0.16121110884076	Real period
R	3.7091328933489	Regulator
r	1	Rank of the group of rational points
S	0.99999999999998	(Analytic) order of Ш
t	1	Number of elements in the torsion subgroup
Twists	34848cj1 69696cy1 11616w1 34848ci1	Quadratic twists by: -4 8 -3 -11

Hecke Eigenvalues for elliptic curve 34848be1

a2	a3	a5	a7	a11	a13	a17	a19	a23	a29	a31	a37	a41	a43	a47	a53	a59	a61	a67	a71	a73	a79	a83	a89	a97
+	-	-3	2	-	-1	1	0	2	7	-4	-3	9	6	-12	9	-6	-6	-2	10	-14	-8	-4	-1	-17

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Quadratic twists for elliptic curve 34848be1

-4	8	-3	-11
34848cj1	69696cy1	11616w1	34848ci1

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Data from Elliptic Curve Data by J. E. Cremona.
Design inspired by The Modular Forms Explorer by William Stein.

Part of Computational Number Theory
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