Atkin-Lehner |
2+ 3- 5+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
62400cc |
Isogeny class |
Conductor |
62400 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
368640 |
Modular degree for the optimal curve |
Δ |
-24261120000000000 = -1 · 218 · 36 · 510 · 13 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 1 1 13+ 7 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,19167,7430463] |
[a1,a2,a3,a4,a6] |
j |
304175/9477 |
j-invariant |
L |
3.4235824304093 |
L(r)(E,1)/r! |
Ω |
0.28529853564453 |
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 |
62400ec1 975c1 62400bt1 |
Quadratic twists by: -4 8 5 |