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	34848m	Isogeny class
Conductor	34848	Conductor
∏ cp	32	Product of Tamagawa factors cp
deg	92160	Modular degree for the optimal curve
Δ	24548223154752 = 26 · 39 · 117	Discriminant
Eigenvalues	2+ 3-  0  2 11- -4 -2  0	Hecke eigenvalues for primes up to 20
Equation	[0,0,0,-107085,13485692]	[a1,a2,a3,a4,a6]
Generators	[209:-484:1]	Generators of the group modulo torsion
j	1643032000/297	j-invariant
L	5.7614816862339	L(r)(E,1)/r!
Ω	0.65215407240008	Real period
R	1.1043175857643	Regulator
r	1	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	2	Number of elements in the torsion subgroup
Twists	34848bs1 69696bk1 11616q1 3168w1	Quadratic twists by: -4 8 -3 -11

Hecke Eigenvalues for elliptic curve 34848m1

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
+	-	0	2	-	-4	-2	0	2	-2	-4	6	-6	12	6	0	0	0	4	10	-2	-2	-4	14	-2

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Quadratic twists for elliptic curve 34848m1

-4	8	-3	-11
34848bs1	69696bk1	11616q1	3168w1

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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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