Cremona's table of elliptic curves

1978 = 2 · 23 · 43

Field	Data	Notes
Atkin-Lehner	2+ 23- 43+	Signs for the Atkin-Lehner involutions
Class	1978b	Isogeny class
Conductor	1978	Conductor
∏ cp	2	Product of Tamagawa factors cp
deg	864	Modular degree for the optimal curve
Δ	-29258576 = -1 · 24 · 23 · 433	Discriminant
Eigenvalues	2+  3 -2  2  5  1  4 -2	Hecke eigenvalues for primes up to 20
Equation	[1,-1,0,77,5]	[a1,a2,a3,a4,a6]
j	50120963703/29258576	j-invariant
L	2.5344012339002	L(r)(E,1)/r!
Ω	1.2672006169501	Real period
R	1	Regulator
r	0	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	1	Number of elements in the torsion subgroup
Twists	15824g1 63296n1 17802o1 49450p1	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 1978b1

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	2	5	1	4	-2	-	2	0	-7	-6	+	0	-4	6	-5	11	3	6	3	-1	15	12

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Quadratic twists for elliptic curve 1978b1

-4	8	-3	5	-7	-23	-43
15824g1	63296n1	17802o1	49450p1	96922l1	45494i1	85054h1

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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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