Atkin-Lehner |
2- 3- 7+ 11- 17- |
Signs for the Atkin-Lehner involutions |
Class |
62832bo |
Isogeny class |
Conductor |
62832 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
73728 |
Modular degree for the optimal curve |
Δ |
-35177877504 = -1 · 212 · 38 · 7 · 11 · 17 |
Discriminant |
Eigenvalues |
2- 3- -1 7+ 11- 1 17- 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-12496,533588] |
[a1,a2,a3,a4,a6] |
Generators |
[68:-54:1] |
Generators of the group modulo torsion |
j |
-52687982361169/8588349 |
j-invariant |
L |
7.1695202267945 |
L(r)(E,1)/r! |
Ω |
1.1232282174393 |
Real period |
R |
0.39893496907968 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999995783 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
3927c1 |
Quadratic twists by: -4 |