Atkin-Lehner |
2+ 3- 7- 29- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
113274v |
Isogeny class |
Conductor |
113274 |
Conductor |
∏ cp |
10 |
Product of Tamagawa factors cp |
deg |
685440 |
Modular degree for the optimal curve |
Δ |
-1443734539075584 = -1 · 217 · 36 · 75 · 29 · 31 |
Discriminant |
Eigenvalues |
2+ 3- 3 7- 1 -4 6 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,21987,-1334907] |
[a1,a2,a3,a4,a6] |
j |
1612437917510447/1980431466496 |
j-invariant |
L |
2.5667657144518 |
L(r)(E,1)/r! |
Ω |
0.25667660084277 |
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 |
12586h1 |
Quadratic twists by: -3 |