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	730a	Isogeny class
Conductor	730	Conductor
∏ cp	8	Product of Tamagawa factors cp
Δ	-532900000000 = -1 · 28 · 58 · 732	Discriminant
Eigenvalues	2+  0 5+ -2  2  2  2  0	Hecke eigenvalues for primes up to 20
Equation	[1,-1,0,415,-35075]	[a1,a2,a3,a4,a6]
j	7893674555031/532900000000	j-invariant
L	0.88255093395461	L(r)(E,1)/r!
Ω	0.4412754669773	Real period
R	1	Regulator
r	0	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	2	Number of elements in the torsion subgroup
Twists	5840c2 23360i2 6570bc2 3650h2	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 730a2

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
+	0	+	-2	2	2	2	0	4	10	10	-6	6	-6	-6	2	6	2	8	16	-	4	6	-6	6

---

Quadratic twists for elliptic curve 730a2

-4	8	-3	5	-7	-11	13	73
5840c2	23360i2	6570bc2	3650h2	35770l2	88330s2	123370v2	53290l2

---

Data from Elliptic Curve Data by J. E. Cremona.
Design inspired by The Modular Forms Explorer by William Stein.

Part of Computational Number Theory
Back to Tables and computations