Cremona's table of elliptic curves

11928 = 2³ · 3 · 7 · 71

Field	Data	Notes
Atkin-Lehner	2- 3+ 7+ 71-	Signs for the Atkin-Lehner involutions
Class	11928g	Isogeny class
Conductor	11928	Conductor
∏ cp	32	Product of Tamagawa factors cp
deg	18432	Modular degree for the optimal curve
Δ	-3688556320512 = -1 · 28 · 34 · 7 · 714	Discriminant
Eigenvalues	2- 3+  2 7+  4 -2 -2  4	Hecke eigenvalues for primes up to 20
Equation	[0,-1,0,-6532,225412]	[a1,a2,a3,a4,a6]
Generators	[-92:198:1]	Generators of the group modulo torsion
j	-120417265426768/14408423127	j-invariant
L	4.5646799390747	L(r)(E,1)/r!
Ω	0.7651525195104	Real period
R	2.9828562428283	Regulator
r	1	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	4	Number of elements in the torsion subgroup
Twists	23856k1 95424w1 35784h1 83496x1	Quadratic twists by: -4 8 -3 -7

Hecke Eigenvalues for elliptic curve 11928g1

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	-2	-2	4	0	6	-8	-2	-2	-4	0	-10	0	-10	-12	-	-6	-8	4	2	6

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Quadratic twists for elliptic curve 11928g1

-4	8	-3	-7
23856k1	95424w1	35784h1	83496x1

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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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