Atkin-Lehner |
2+ 3- 7- 11- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
42966s |
Isogeny class |
Conductor |
42966 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
78848 |
Modular degree for the optimal curve |
Δ |
2822507347968 = 214 · 38 · 7 · 112 · 31 |
Discriminant |
Eigenvalues |
2+ 3- 2 7- 11- 2 2 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-3771,-36635] |
[a1,a2,a3,a4,a6] |
j |
8136367582897/3871752192 |
j-invariant |
L |
2.5537835430018 |
L(r)(E,1)/r! |
Ω |
0.63844588575882 |
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 |
14322h1 |
Quadratic twists by: -3 |