Atkin-Lehner |
2- 3- 5+ 71+ |
Signs for the Atkin-Lehner involutions |
Class |
31950cg |
Isogeny class |
Conductor |
31950 |
Conductor |
∏ cp |
20 |
Product of Tamagawa factors cp |
deg |
89600 |
Modular degree for the optimal curve |
Δ |
-6288718500000 = -1 · 25 · 311 · 56 · 71 |
Discriminant |
Eigenvalues |
2- 3- 5+ -3 3 6 -2 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-4505,-166503] |
[a1,a2,a3,a4,a6] |
Generators |
[83:120:1] |
Generators of the group modulo torsion |
j |
-887503681/552096 |
j-invariant |
L |
8.6413960897588 |
L(r)(E,1)/r! |
Ω |
0.28337742566927 |
Real period |
R |
1.5247149749755 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
10650d1 1278c1 |
Quadratic twists by: -3 5 |