Atkin-Lehner |
2+ 3- 11- 79+ |
Signs for the Atkin-Lehner involutions |
Class |
62568d |
Isogeny class |
Conductor |
62568 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
60928 |
Modular degree for the optimal curve |
Δ |
863426386944 = 210 · 36 · 114 · 79 |
Discriminant |
Eigenvalues |
2+ 3- -3 1 11- 1 0 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-2979,-43794] |
[a1,a2,a3,a4,a6] |
Generators |
[-17:44:1] |
Generators of the group modulo torsion |
j |
3916586628/1156639 |
j-invariant |
L |
5.3707594143409 |
L(r)(E,1)/r! |
Ω |
0.6609016951465 |
Real period |
R |
1.0158014901696 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000107 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
125136c1 6952b1 |
Quadratic twists by: -4 -3 |