Atkin-Lehner |
3+ 7- 19- 41- |
Signs for the Atkin-Lehner involutions |
Class |
114513f |
Isogeny class |
Conductor |
114513 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
156672 |
Modular degree for the optimal curve |
Δ |
552365937417 = 3 · 78 · 19 · 412 |
Discriminant |
Eigenvalues |
1 3+ -2 7- 4 4 -4 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-2181,-17016] |
[a1,a2,a3,a4,a6] |
j |
9759185353/4695033 |
j-invariant |
L |
1.4656667839225 |
L(r)(E,1)/r! |
Ω |
0.73283303581651 |
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 |
16359c1 |
Quadratic twists by: -7 |