Cremona's table of elliptic curves

7030 = 2 · 5 · 19 · 37

Field	Data	Notes
Atkin-Lehner	2- 5- 19+ 37+	Signs for the Atkin-Lehner involutions
Class	7030h	Isogeny class
Conductor	7030	Conductor
∏ cp	228	Product of Tamagawa factors cp
deg	25536	Modular degree for the optimal curve
Δ	-213082112000000 = -1 · 219 · 56 · 19 · 372	Discriminant
Eigenvalues	2- -1 5-  1 -2  1  3 19+	Hecke eigenvalues for primes up to 20
Equation	[1,1,1,-70940,7276797]	[a1,a2,a3,a4,a6]
Generators	[57:1821:1]	Generators of the group modulo torsion
j	-39481863905634586561/213082112000000	j-invariant
L	5.4551483446822	L(r)(E,1)/r!
Ω	0.56474071357987	Real period
R	0.042366503168145	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	56240q1 63270c1 35150a1	Quadratic twists by: -4 -3 5

Hecke Eigenvalues for elliptic curve 7030h1

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	-2	1	3	+	-9	-1	0	+	2	-8	-4	3	7	-6	-1	-8	-9	-2	10	6	18

---

Quadratic twists for elliptic curve 7030h1

-4	-3	5
56240q1	63270c1	35150a1

---

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