Cremona's table of elliptic curves

730 = 2 · 5 · 73

Field	Data	Notes
Atkin-Lehner	2+ 5+ 73-	Signs for the Atkin-Lehner involutions
Class	730b	Isogeny class
Conductor	730	Conductor
∏ cp	1	Product of Tamagawa factors cp
Δ	-19136512000 = -1 · 221 · 53 · 73	Discriminant
Eigenvalues	2+ -2 5+ -4  0 -4 -3  5	Hecke eigenvalues for primes up to 20
Equation	[1,0,1,-3919,-94974]	[a1,a2,a3,a4,a6]
j	-6654113316148969/19136512000	j-invariant
L	0.30165756147469	L(r)(E,1)/r!
Ω	0.30165756147469	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	5840e2 23360k2 6570bd2 3650j2	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 730b2

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	0	-4	-3	5	3	-9	-7	-7	9	11	12	6	6	-4	2	-12	-	8	12	9	-16

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Quadratic twists for elliptic curve 730b2

-4	8	-3	5	-7	-11	13	73
5840e2	23360k2	6570bd2	3650j2	35770m2	88330w2	123370x2	53290q2

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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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