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	730k	Isogeny class
Conductor	730	Conductor
∏ cp	3	Product of Tamagawa factors cp
Δ	3890170 = 2 · 5 · 733	Discriminant
Eigenvalues	2-  1 5-  5  3 -4 -6 -4	Hecke eigenvalues for primes up to 20
Equation	[1,0,0,-365,-2713]	[a1,a2,a3,a4,a6]
j	5378691911761/3890170	j-invariant
L	3.2768778390811	L(r)(E,1)/r!
Ω	1.092292613027	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	5840l2 23360f2 6570g2 3650b2	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 730k2

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	-	5	3	-4	-6	-4	6	-9	2	-7	9	2	9	-12	9	-4	-7	-3	-	-1	12	-15	2

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Quadratic twists for elliptic curve 730k2

-4	8	-3	5	-7	-11	13	73
5840l2	23360f2	6570g2	3650b2	35770t2	88330n2	123370b2	53290u2

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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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