Cremona's table of elliptic curves

6970 = 2 · 5 · 17 · 41

Field	Data	Notes
Atkin-Lehner	2- 5- 17- 41-	Signs for the Atkin-Lehner involutions
Class	6970h	Isogeny class
Conductor	6970	Conductor
∏ cp	10	Product of Tamagawa factors cp
Δ	-2281852082725908170 = -1 · 2 · 5 · 17 · 4110	Discriminant
Eigenvalues	2- -1 5- -2  2 -1 17- -5	Hecke eigenvalues for primes up to 20
Equation	[1,1,1,-451995,-137892413]	[a1,a2,a3,a4,a6]
Generators	[91392630:2503103063:74088]	Generators of the group modulo torsion
j	-10212325861583605996081/2281852082725908170	j-invariant
L	5.08706325782	L(r)(E,1)/r!
Ω	0.090980200936954	Real period
R	5.5913959360731	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	55760ba2 62730h2 34850d2 118490n2	Quadratic twists by: -4 -3 5 17

Hecke Eigenvalues for elliptic curve 6970h2

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	-	-2	2	-1	-	-5	4	-5	7	-2	-	-6	3	9	-15	7	-2	-3	-11	0	-6	-15	-7

---

Quadratic twists for elliptic curve 6970h2

-4	-3	5	17
55760ba2	62730h2	34850d2	118490n2

---

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