Atkin-Lehner |
2- 5+ 7- 31- |
Signs for the Atkin-Lehner involutions |
Class |
75950ct |
Isogeny class |
Conductor |
75950 |
Conductor |
∏ cp |
40 |
Product of Tamagawa factors cp |
deg |
829440 |
Modular degree for the optimal curve |
Δ |
3127404542500000 = 25 · 57 · 79 · 31 |
Discriminant |
Eigenvalues |
2- 3 5+ 7- -1 -1 6 -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-152130,-22641503] |
[a1,a2,a3,a4,a6] |
j |
211815318681/1701280 |
j-invariant |
L |
9.6742302232932 |
L(r)(E,1)/r! |
Ω |
0.24185575521051 |
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 |
15190k1 10850z1 |
Quadratic twists by: 5 -7 |