Atkin-Lehner |
2+ 23+ 79+ |
Signs for the Atkin-Lehner involutions |
Class |
116288c |
Isogeny class |
Conductor |
116288 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
15736320 |
Modular degree for the optimal curve |
Δ |
191608180424704 = 214 · 236 · 79 |
Discriminant |
Eigenvalues |
2+ 1 1 -3 -4 1 2 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-1573691505,-24029071810993] |
[a1,a2,a3,a4,a6] |
Generators |
[5185657819886342077589374978466369358074:5302639944893070361502219675110388336460881:4952162328950999604635678601586457] |
Generators of the group modulo torsion |
j |
26306469960480560181955555024/11694835231 |
j-invariant |
L |
5.8394398349883 |
L(r)(E,1)/r! |
Ω |
0.02397008944093 |
Real period |
R |
60.903400562799 |
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 |
116288bb1 7268b1 |
Quadratic twists by: -4 8 |