Atkin-Lehner |
2- 23- 37+ |
Signs for the Atkin-Lehner involutions |
Class |
125948g |
Isogeny class |
Conductor |
125948 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
623808 |
Modular degree for the optimal curve |
Δ |
-1292592439042928 = -1 · 24 · 23 · 378 |
Discriminant |
Eigenvalues |
2- -3 0 -2 -2 -1 -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-34225,-2988527] |
[a1,a2,a3,a4,a6] |
Generators |
[481:9583:1] |
Generators of the group modulo torsion |
j |
-108000000/31487 |
j-invariant |
L |
2.3976049084134 |
L(r)(E,1)/r! |
Ω |
0.17289967908606 |
Real period |
R |
2.3111714400669 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000444655 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
3404b1 |
Quadratic twists by: 37 |