Atkin-Lehner |
2+ 3+ 5- 71- |
Signs for the Atkin-Lehner involutions |
Class |
31950j |
Isogeny class |
Conductor |
31950 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
117504 |
Modular degree for the optimal curve |
Δ |
-3577582080000 = -1 · 212 · 39 · 54 · 71 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 1 4 -4 1 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-39192,-2977984] |
[a1,a2,a3,a4,a6] |
Generators |
[268240:7094968:343] |
Generators of the group modulo torsion |
j |
-541191435075/290816 |
j-invariant |
L |
4.7247798656295 |
L(r)(E,1)/r! |
Ω |
0.16965071147663 |
Real period |
R |
6.9625111272824 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999997 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
31950bt1 31950bq1 |
Quadratic twists by: -3 5 |