Cremona's table of elliptic curves

1876 = 2² · 7 · 67

Field	Data	Notes
Atkin-Lehner	2- 7- 67+	Signs for the Atkin-Lehner involutions
Class	1876a	Isogeny class
Conductor	1876	Conductor
∏ cp	3	Product of Tamagawa factors cp
deg	72	Modular degree for the optimal curve
Δ	7504 = 24 · 7 · 67	Discriminant
Eigenvalues	2-  1  1 7- -4 -1 -4 -6	Hecke eigenvalues for primes up to 20
Equation	[0,1,0,-5,-4]	[a1,a2,a3,a4,a6]
Generators	[-1:1:1]	Generators of the group modulo torsion
j	1048576/469	j-invariant
L	3.4678194814352	L(r)(E,1)/r!
Ω	3.2753431336094	Real period
R	0.35292174895619	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	7504s1 30016z1 16884g1 46900c1	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 1876a1

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
-	1	1	-	-4	-1	-4	-6	-1	-3	3	5	-9	-6	6	0	6	10	+	3	4	6	-4	-14	-2

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Quadratic twists for elliptic curve 1876a1

-4	8	-3	5	-7	-67
7504s1	30016z1	16884g1	46900c1	13132c1	125692b1

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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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