Atkin-Lehner |
2- 3- 5- 19- 71- |
Signs for the Atkin-Lehner involutions |
Class |
121410bt |
Isogeny class |
Conductor |
121410 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
147456 |
Modular degree for the optimal curve |
Δ |
14338278180 = 22 · 312 · 5 · 19 · 71 |
Discriminant |
Eigenvalues |
2- 3- 5- 4 -6 0 6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-1427,-19569] |
[a1,a2,a3,a4,a6] |
j |
440537367529/19668420 |
j-invariant |
L |
6.2316787138377 |
L(r)(E,1)/r! |
Ω |
0.7789598481482 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
40470j1 |
Quadratic twists by: -3 |