Atkin-Lehner |
2- 3- 5- 7- 61- |
Signs for the Atkin-Lehner involutions |
Class |
89670cq |
Isogeny class |
Conductor |
89670 |
Conductor |
∏ cp |
480 |
Product of Tamagawa factors cp |
deg |
4423680 |
Modular degree for the optimal curve |
Δ |
5696776348200000 = 26 · 34 · 55 · 78 · 61 |
Discriminant |
Eigenvalues |
2- 3- 5- 7- 6 2 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-15761390,-24085938108] |
[a1,a2,a3,a4,a6] |
j |
3680603373404967217489/48421800000 |
j-invariant |
L |
9.0924760911471 |
L(r)(E,1)/r! |
Ω |
0.07577063485081 |
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 |
12810l1 |
Quadratic twists by: -7 |