Atkin-Lehner |
2- 3+ 5+ 71- |
Signs for the Atkin-Lehner involutions |
Class |
31950bq |
Isogeny class |
Conductor |
31950 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
587520 |
Modular degree for the optimal curve |
Δ |
-55899720000000000 = -1 · 212 · 39 · 510 · 71 |
Discriminant |
Eigenvalues |
2- 3+ 5+ -1 4 4 -1 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-979805,-373227803] |
[a1,a2,a3,a4,a6] |
Generators |
[1153:4796:1] |
Generators of the group modulo torsion |
j |
-541191435075/290816 |
j-invariant |
L |
9.4126384723934 |
L(r)(E,1)/r! |
Ω |
0.07587010465859 |
Real period |
R |
5.1692728176388 |
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 |
31950b1 31950j1 |
Quadratic twists by: -3 5 |