Atkin-Lehner |
2- 5+ 7+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
75950ca |
Isogeny class |
Conductor |
75950 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
63504 |
Modular degree for the optimal curve |
Δ |
-8935441550 = -1 · 2 · 52 · 78 · 31 |
Discriminant |
Eigenvalues |
2- -1 5+ 7+ 3 1 -6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-2108,36651] |
[a1,a2,a3,a4,a6] |
Generators |
[1396:1873:64] |
Generators of the group modulo torsion |
j |
-7188265/62 |
j-invariant |
L |
7.5998003033578 |
L(r)(E,1)/r! |
Ω |
1.3076585997315 |
Real period |
R |
5.8117618027481 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000003162 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
75950bm1 75950ce1 |
Quadratic twists by: 5 -7 |