Atkin-Lehner |
3- 5+ 23- 73- |
Signs for the Atkin-Lehner involutions |
Class |
125925ba |
Isogeny class |
Conductor |
125925 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
748800 |
Modular degree for the optimal curve |
Δ |
-743301826171875 = -1 · 33 · 510 · 232 · 732 |
Discriminant |
Eigenvalues |
2 3- 5+ -1 0 1 0 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-38958,3224369] |
[a1,a2,a3,a4,a6] |
j |
-669614387200/76114107 |
j-invariant |
L |
5.907951218542 |
L(r)(E,1)/r! |
Ω |
0.49232922618855 |
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 |
125925o1 |
Quadratic twists by: 5 |