Atkin-Lehner |
3- 7+ 17- 29- |
Signs for the Atkin-Lehner involutions |
Class |
31059l |
Isogeny class |
Conductor |
31059 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
140448 |
Modular degree for the optimal curve |
Δ |
-12080970090717507 = -1 · 36 · 711 · 172 · 29 |
Discriminant |
Eigenvalues |
0 3- 0 7+ 0 -6 17- -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,9900,5274605] |
[a1,a2,a3,a4,a6] |
j |
147197952000000/16571975433083 |
j-invariant |
L |
0.61609891061089 |
L(r)(E,1)/r! |
Ω |
0.30804945530471 |
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 |
3451a1 |
Quadratic twists by: -3 |