Atkin-Lehner |
2- 7- 17- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
59024x |
Isogeny class |
Conductor |
59024 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
59904 |
Modular degree for the optimal curve |
Δ |
-2054979584 = -1 · 215 · 7 · 172 · 31 |
Discriminant |
Eigenvalues |
2- 3 -1 7- 6 6 17- 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,317,194] |
[a1,a2,a3,a4,a6] |
j |
860085351/501704 |
j-invariant |
L |
7.1091434816964 |
L(r)(E,1)/r! |
Ω |
0.88864293515646 |
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 |
7378g1 |
Quadratic twists by: -4 |