Atkin-Lehner |
2+ 5+ 7- 31- |
Signs for the Atkin-Lehner involutions |
Class |
75950bc |
Isogeny class |
Conductor |
75950 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
442368 |
Modular degree for the optimal curve |
Δ |
-2279449375000000 = -1 · 26 · 510 · 76 · 31 |
Discriminant |
Eigenvalues |
2+ 2 5+ 7- 2 0 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-80875,9112125] |
[a1,a2,a3,a4,a6] |
Generators |
[174:501:1] |
Generators of the group modulo torsion |
j |
-31824875809/1240000 |
j-invariant |
L |
7.6215772938239 |
L(r)(E,1)/r! |
Ω |
0.45769134711677 |
Real period |
R |
2.0815275793773 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999985521 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
15190bm1 1550c1 |
Quadratic twists by: 5 -7 |