Atkin-Lehner |
2- 3+ 5+ 11+ 59+ |
Signs for the Atkin-Lehner involutions |
Class |
38940a |
Isogeny class |
Conductor |
38940 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
1050624 |
Modular degree for the optimal curve |
Δ |
-1.0180395263672E+20 |
Discriminant |
Eigenvalues |
2- 3+ 5+ -2 11+ -2 0 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,1153779,-90463230] |
[a1,a2,a3,a4,a6] |
j |
10616252595815705870336/6362747039794921875 |
j-invariant |
L |
0.22016853131084 |
L(r)(E,1)/r! |
Ω |
0.11008426566796 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
116820ba1 |
Quadratic twists by: -3 |