Atkin-Lehner |
2- 3- 5- 7- 29- |
Signs for the Atkin-Lehner involutions |
Class |
42630dl |
Isogeny class |
Conductor |
42630 |
Conductor |
∏ cp |
14 |
Product of Tamagawa factors cp |
deg |
178752 |
Modular degree for the optimal curve |
Δ |
-76071954522690 = -1 · 2 · 32 · 5 · 72 · 297 |
Discriminant |
Eigenvalues |
2- 3- 5- 7- -2 -7 -3 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,7790,-325018] |
[a1,a2,a3,a4,a6] |
j |
1066931459038991/1552488867810 |
j-invariant |
L |
4.5441771836712 |
L(r)(E,1)/r! |
Ω |
0.32458408455058 |
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 |
127890bl1 42630cb1 |
Quadratic twists by: -3 -7 |