Atkin-Lehner |
2- 23- 37+ |
Signs for the Atkin-Lehner involutions |
Class |
125948f |
Isogeny class |
Conductor |
125948 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
1247616 |
Modular degree for the optimal curve |
Δ |
12856054528859392 = 28 · 232 · 377 |
Discriminant |
Eigenvalues |
2- -1 0 -5 -5 4 8 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-127773,16754329] |
[a1,a2,a3,a4,a6] |
Generators |
[136:1369:1] |
Generators of the group modulo torsion |
j |
351232000/19573 |
j-invariant |
L |
2.9381938292464 |
L(r)(E,1)/r! |
Ω |
0.39328842360829 |
Real period |
R |
1.8677093836916 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999997010562 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
3404a1 |
Quadratic twists by: 37 |