Atkin-Lehner |
2- 3- 7- 71- |
Signs for the Atkin-Lehner involutions |
Class |
62622cq |
Isogeny class |
Conductor |
62622 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
147456 |
Modular degree for the optimal curve |
Δ |
-33080218912188 = -1 · 22 · 314 · 73 · 712 |
Discriminant |
Eigenvalues |
2- 3- -2 7- -4 -4 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,5629,222527] |
[a1,a2,a3,a4,a6] |
Generators |
[-138:2837:8] |
Generators of the group modulo torsion |
j |
78898389569/132296004 |
j-invariant |
L |
6.9763351280352 |
L(r)(E,1)/r! |
Ω |
0.44866595923126 |
Real period |
R |
3.8872656729778 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000318 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
20874o1 62622cm1 |
Quadratic twists by: -3 -7 |