Atkin-Lehner |
2- 7- 13- 41+ |
Signs for the Atkin-Lehner involutions |
Class |
7462i |
Isogeny class |
Conductor |
7462 |
Conductor |
∏ cp |
36 |
Product of Tamagawa factors cp |
deg |
11232 |
Modular degree for the optimal curve |
Δ |
-6846414848 = -1 · 218 · 72 · 13 · 41 |
Discriminant |
Eigenvalues |
2- 1 0 7- 6 13- 0 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-15663,753209] |
[a1,a2,a3,a4,a6] |
j |
-424962187484640625/6846414848 |
j-invariant |
L |
4.8750013290252 |
L(r)(E,1)/r! |
Ω |
1.2187503322563 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
59696m1 67158w1 52234ba1 97006c1 |
Quadratic twists by: -4 -3 -7 13 |