Atkin-Lehner |
2- 3- 5+ 17- 31- |
Signs for the Atkin-Lehner involutions |
Class |
126480bs |
Isogeny class |
Conductor |
126480 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
276480 |
Modular degree for the optimal curve |
Δ |
33951716474880 = 232 · 3 · 5 · 17 · 31 |
Discriminant |
Eigenvalues |
2- 3- 5+ 0 4 2 17- 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-8096,-8460] |
[a1,a2,a3,a4,a6] |
Generators |
[969997797:93758885088:103823] |
Generators of the group modulo torsion |
j |
14329429649569/8288993280 |
j-invariant |
L |
9.2887961283435 |
L(r)(E,1)/r! |
Ω |
0.55135848423964 |
Real period |
R |
16.847108452437 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.999999994422 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
15810n1 |
Quadratic twists by: -4 |