Atkin-Lehner |
7- 31+ 83- |
Signs for the Atkin-Lehner involutions |
Class |
126077b |
Isogeny class |
Conductor |
126077 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
308880 |
Modular degree for the optimal curve |
Δ |
290905152797 = 76 · 313 · 83 |
Discriminant |
Eigenvalues |
2 -2 -4 7- 0 -3 -2 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-1780,-13345] |
[a1,a2,a3,a4,a6] |
Generators |
[-214:1003:8] |
Generators of the group modulo torsion |
j |
5304438784/2472653 |
j-invariant |
L |
4.0219058496683 |
L(r)(E,1)/r! |
Ω |
0.76880825537135 |
Real period |
R |
5.2313510940233 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999855385 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
2573a1 |
Quadratic twists by: -7 |