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	34848bn	Isogeny class
Conductor	34848	Conductor
∏ cp	16	Product of Tamagawa factors cp
Δ	-2160243637618176 = -1 · 29 · 39 · 118	Discriminant
Eigenvalues	2- 3+ -2 -4 11- -4 -6  2	Hecke eigenvalues for primes up to 20
Equation	[0,0,0,22869,-1796850]	[a1,a2,a3,a4,a6]
Generators	[550:13310:1]	Generators of the group modulo torsion
j	74088/121	j-invariant
L	2.7930383042936	L(r)(E,1)/r!
Ω	0.24400361100085	Real period
R	2.8616772235839	Regulator
r	1	Rank of the group of rational points
S	1.0000000000001	(Analytic) order of Ш
t	2	Number of elements in the torsion subgroup
Twists	34848bm2 69696eo2 34848f2 3168f2	Quadratic twists by: -4 8 -3 -11

Hecke Eigenvalues for elliptic curve 34848bn2

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
-	+	-2	-4	-	-4	-6	2	-6	2	8	6	-2	-6	2	-6	-8	12	-4	14	10	-8	4	8	-10

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Quadratic twists for elliptic curve 34848bn2

-4	8	-3	-11
34848bm2	69696eo2	34848f2	3168f2

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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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