Atkin-Lehner |
2- 3- 5- 71- |
Signs for the Atkin-Lehner involutions |
Class |
127800bv |
Isogeny class |
Conductor |
127800 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
2296320 |
Modular degree for the optimal curve |
Δ |
515753525981250000 = 24 · 319 · 58 · 71 |
Discriminant |
Eigenvalues |
2- 3- 5- 2 1 -2 3 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-2858250,-1859616875] |
[a1,a2,a3,a4,a6] |
Generators |
[-544012687451:233726072922:553387661] |
Generators of the group modulo torsion |
j |
566782983485440/113196933 |
j-invariant |
L |
8.2837178228319 |
L(r)(E,1)/r! |
Ω |
0.11611269533307 |
Real period |
R |
17.835512729831 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
42600k1 127800w1 |
Quadratic twists by: -3 5 |