Atkin-Lehner |
2- 5+ 7+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
29120bl |
Isogeny class |
Conductor |
29120 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
204800 |
Modular degree for the optimal curve |
Δ |
3837051545600000 = 214 · 55 · 78 · 13 |
Discriminant |
Eigenvalues |
2- -2 5+ 7+ -2 13+ -6 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-41361,1251439] |
[a1,a2,a3,a4,a6] |
j |
477625344356176/234195040625 |
j-invariant |
L |
0.78411884411188 |
L(r)(E,1)/r! |
Ω |
0.39205942205588 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
29120h1 7280g1 |
Quadratic twists by: -4 8 |