Atkin-Lehner |
2+ 7- 11- 29- |
Signs for the Atkin-Lehner involutions |
Class |
125048l |
Isogeny class |
Conductor |
125048 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
666624 |
Modular degree for the optimal curve |
Δ |
494521509117328 = 24 · 713 · 11 · 29 |
Discriminant |
Eigenvalues |
2+ -1 4 7- 11- 1 -2 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-67636,6707933] |
[a1,a2,a3,a4,a6] |
j |
18178400056576/262710217 |
j-invariant |
L |
2.1001946779217 |
L(r)(E,1)/r! |
Ω |
0.52504889048187 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
17864e1 |
Quadratic twists by: -7 |