Atkin-Lehner |
3- 5- 7- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
62475cn |
Isogeny class |
Conductor |
62475 |
Conductor |
∏ cp |
66 |
Product of Tamagawa factors cp |
deg |
13305600 |
Modular degree for the optimal curve |
Δ |
1.1397701482487E+23 |
Discriminant |
Eigenvalues |
0 3- 5- 7- -5 6 17+ 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-125615583,-541691193256] |
[a1,a2,a3,a4,a6] |
j |
4769863992106516480/2480098920957 |
j-invariant |
L |
2.9764333582128 |
L(r)(E,1)/r! |
Ω |
0.045097475157744 |
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 |
62475u1 8925l1 |
Quadratic twists by: 5 -7 |