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	11928d	Isogeny class
Conductor	11928	Conductor
∏ cp	6	Product of Tamagawa factors cp
deg	1632	Modular degree for the optimal curve
Δ	-214704 = -1 · 24 · 33 · 7 · 71	Discriminant
Eigenvalues	2+ 3-  3 7- -3  1  0 -8	Hecke eigenvalues for primes up to 20
Equation	[0,1,0,-19,-46]	[a1,a2,a3,a4,a6]
Generators	[5:3:1]	Generators of the group modulo torsion
j	-49948672/13419	j-invariant
L	6.7269012742915	L(r)(E,1)/r!
Ω	1.1226593631746	Real period
R	0.99865573579828	Regulator
r	1	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	1	Number of elements in the torsion subgroup
Twists	23856a1 95424n1 35784v1 83496b1	Quadratic twists by: -4 8 -3 -7

Hecke Eigenvalues for elliptic curve 11928d1

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	-	-3	1	0	-8	-8	0	3	-5	-12	-7	12	-7	0	7	-16	+	-4	-9	-5	-3	14

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Quadratic twists for elliptic curve 11928d1

-4	8	-3	-7
23856a1	95424n1	35784v1	83496b1

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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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