Atkin-Lehner |
2+ 3- 17- 71- |
Signs for the Atkin-Lehner involutions |
Class |
21726o |
Isogeny class |
Conductor |
21726 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
33280 |
Modular degree for the optimal curve |
Δ |
1751584186368 = 213 · 311 · 17 · 71 |
Discriminant |
Eigenvalues |
2+ 3- 2 1 -3 -1 17- -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-3681,-56835] |
[a1,a2,a3,a4,a6] |
j |
7567631909137/2402721792 |
j-invariant |
L |
1.2565373395991 |
L(r)(E,1)/r! |
Ω |
0.62826866979958 |
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 |
7242j1 |
Quadratic twists by: -3 |