Atkin-Lehner |
5- 23- 67- |
Signs for the Atkin-Lehner involutions |
Class |
38525g |
Isogeny class |
Conductor |
38525 |
Conductor |
∏ cp |
10 |
Product of Tamagawa factors cp |
deg |
525600 |
Modular degree for the optimal curve |
Δ |
-278990695938671875 = -1 · 58 · 232 · 675 |
Discriminant |
Eigenvalues |
-1 0 5- -4 4 -4 5 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-706930,-230007428] |
[a1,a2,a3,a4,a6] |
j |
-100021263902725905/714216181603 |
j-invariant |
L |
0.82288713156816 |
L(r)(E,1)/r! |
Ω |
0.082288713153784 |
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 |
38525a1 |
Quadratic twists by: 5 |