Atkin-Lehner |
2+ 3- 7+ 37- |
Signs for the Atkin-Lehner involutions |
Class |
6216j |
Isogeny class |
Conductor |
6216 |
Conductor |
∏ cp |
120 |
Product of Tamagawa factors cp |
deg |
26880 |
Modular degree for the optimal curve |
Δ |
114902601628752 = 24 · 310 · 74 · 373 |
Discriminant |
Eigenvalues |
2+ 3- -4 7+ 0 -2 0 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-12915,226314] |
[a1,a2,a3,a4,a6] |
Generators |
[9:333:1] |
Generators of the group modulo torsion |
j |
14890887676143616/7181412601797 |
j-invariant |
L |
3.5640797778166 |
L(r)(E,1)/r! |
Ω |
0.52640472975258 |
Real period |
R |
0.22568691454652 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
12432g1 49728g1 18648bc1 43512f1 |
Quadratic twists by: -4 8 -3 -7 |