Atkin-Lehner |
2- 3- 7+ 71+ |
Signs for the Atkin-Lehner involutions |
Class |
62622br |
Isogeny class |
Conductor |
62622 |
Conductor |
∏ cp |
40 |
Product of Tamagawa factors cp |
deg |
380160 |
Modular degree for the optimal curve |
Δ |
130310061686784 = 220 · 36 · 74 · 71 |
Discriminant |
Eigenvalues |
2- 3- 1 7+ -4 0 -8 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-151052,22627343] |
[a1,a2,a3,a4,a6] |
Generators |
[213:181:1] |
Generators of the group modulo torsion |
j |
217761333851929/74448896 |
j-invariant |
L |
9.718396644069 |
L(r)(E,1)/r! |
Ω |
0.57385133656463 |
Real period |
R |
0.42338476990803 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000366 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
6958a1 62622ca1 |
Quadratic twists by: -3 -7 |