Atkin-Lehner |
2- 7- 11- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
62524h |
Isogeny class |
Conductor |
62524 |
Conductor |
∏ cp |
36 |
Product of Tamagawa factors cp |
deg |
62208 |
Modular degree for the optimal curve |
Δ |
508606980112 = 24 · 77 · 113 · 29 |
Discriminant |
Eigenvalues |
2- -1 0 7- 11- 1 -6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-4818,-122471] |
[a1,a2,a3,a4,a6] |
Generators |
[-310:-539:8] [-36:55:1] |
Generators of the group modulo torsion |
j |
6572128000/270193 |
j-invariant |
L |
8.5136819683527 |
L(r)(E,1)/r! |
Ω |
0.57448097232826 |
Real period |
R |
0.41166057220202 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999895 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
8932e1 |
Quadratic twists by: -7 |