Cremona's table of elliptic curves

602 = 2 · 7 · 43

Field	Data	Notes
Atkin-Lehner	2+ 7+ 43-	Signs for the Atkin-Lehner involutions
Class	602c	Isogeny class
Conductor	602	Conductor
∏ cp	1	Product of Tamagawa factors cp
deg	48	Modular degree for the optimal curve
Δ	-602 = -1 · 2 · 7 · 43	Discriminant
Eigenvalues	2+  3  2 7+ -3  2  0  1	Hecke eigenvalues for primes up to 20
Equation	[1,-1,0,-1,-1]	[a1,a2,a3,a4,a6]
j	-185193/602	j-invariant
L	2.1063872057314	L(r)(E,1)/r!
Ω	2.1063872057314	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	4816g1 19264i1 5418p1 15050w1	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 602c1

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	+	-3	2	0	1	6	-1	5	-7	-8	-	-12	-6	12	-6	15	-5	-2	4	-12	-7	12

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Quadratic twists for elliptic curve 602c1

-4	8	-3	5	-7	-11	13	-43
4816g1	19264i1	5418p1	15050w1	4214c1	72842v1	101738z1	25886d1

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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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