Atkin-Lehner |
2+ 7- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
35378d |
Isogeny class |
Conductor |
35378 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
39600 |
Modular degree for the optimal curve |
Δ |
-6455635928 = -1 · 23 · 76 · 193 |
Discriminant |
Eigenvalues |
2+ 3 -2 7- -2 -3 1 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-58,3884] |
[a1,a2,a3,a4,a6] |
j |
-27/8 |
j-invariant |
L |
2.175024995711 |
L(r)(E,1)/r! |
Ω |
1.0875124978563 |
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 |
722b1 35378m1 |
Quadratic twists by: -7 -19 |