Atkin-Lehner |
2- 5- 13+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
114920p |
Isogeny class |
Conductor |
114920 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
129024 |
Modular degree for the optimal curve |
Δ |
-21255603200 = -1 · 210 · 52 · 132 · 173 |
Discriminant |
Eigenvalues |
2- 3 5- 3 4 13+ 17- 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,533,5174] |
[a1,a2,a3,a4,a6] |
j |
96765084/122825 |
j-invariant |
L |
9.7539758865666 |
L(r)(E,1)/r! |
Ω |
0.81283134585561 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
114920e1 |
Quadratic twists by: 13 |