Atkin-Lehner |
2- 7- 19- |
Signs for the Atkin-Lehner involutions |
Class |
35378n |
Isogeny class |
Conductor |
35378 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
10368 |
Modular degree for the optimal curve |
Δ |
-339770312 = -1 · 23 · 76 · 192 |
Discriminant |
Eigenvalues |
2- 1 0 7- 3 2 6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,97,-799] |
[a1,a2,a3,a4,a6] |
j |
2375/8 |
j-invariant |
L |
5.2287027406907 |
L(r)(E,1)/r! |
Ω |
0.87145045677991 |
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 |
722f1 35378c1 |
Quadratic twists by: -7 -19 |