Atkin-Lehner |
2+ 5+ 7- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
75950s |
Isogeny class |
Conductor |
75950 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
175104 |
Modular degree for the optimal curve |
Δ |
-58861250000 = -1 · 24 · 57 · 72 · 312 |
Discriminant |
Eigenvalues |
2+ -3 5+ 7- -4 4 -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-667,-13259] |
[a1,a2,a3,a4,a6] |
Generators |
[34:33:1] [59:-417:1] |
Generators of the group modulo torsion |
j |
-42899409/76880 |
j-invariant |
L |
5.004245653426 |
L(r)(E,1)/r! |
Ω |
0.44311730029969 |
Real period |
R |
0.70582970500109 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999996072 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
15190bf1 75950g1 |
Quadratic twists by: 5 -7 |