Atkin-Lehner |
2- 3+ 5+ 7+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
121380c |
Isogeny class |
Conductor |
121380 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
3760128 |
Modular degree for the optimal curve |
Δ |
104594507070354000 = 24 · 32 · 53 · 72 · 179 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7+ 2 2 17+ 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-10035621,-12233350530] |
[a1,a2,a3,a4,a6] |
j |
58910978342912/55125 |
j-invariant |
L |
0.50893695258907 |
L(r)(E,1)/r! |
Ω |
0.084822977369274 |
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 |
121380be1 |
Quadratic twists by: 17 |