Atkin-Lehner |
2+ 3- 7+ 11+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
31878f |
Isogeny class |
Conductor |
31878 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
46080 |
Modular degree for the optimal curve |
Δ |
-1841300599446 = -1 · 2 · 39 · 75 · 112 · 23 |
Discriminant |
Eigenvalues |
2+ 3- 1 7+ 11+ 1 -4 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,3051,6691] |
[a1,a2,a3,a4,a6] |
Generators |
[5:146:1] |
Generators of the group modulo torsion |
j |
4307673070511/2525789574 |
j-invariant |
L |
3.8456852571778 |
L(r)(E,1)/r! |
Ω |
0.50601951285624 |
Real period |
R |
0.94998442734718 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999999 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
10626k1 |
Quadratic twists by: -3 |