Atkin-Lehner |
2- 3- 5+ 13- 53- |
Signs for the Atkin-Lehner involutions |
Class |
124020j |
Isogeny class |
Conductor |
124020 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
1022976 |
Modular degree for the optimal curve |
Δ |
4851657749250000 = 24 · 312 · 56 · 13 · 532 |
Discriminant |
Eigenvalues |
2- 3- 5+ 2 0 13- -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-613668,-185002283] |
[a1,a2,a3,a4,a6] |
Generators |
[4831321:283641750:1331] |
Generators of the group modulo torsion |
j |
2191172825884573696/415951453125 |
j-invariant |
L |
6.5483861068108 |
L(r)(E,1)/r! |
Ω |
0.17057725939225 |
Real period |
R |
9.59739016828 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000088445 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
41340e1 |
Quadratic twists by: -3 |