Atkin-Lehner |
2+ 5- 37- 61- |
Signs for the Atkin-Lehner involutions |
Class |
22570d |
Isogeny class |
Conductor |
22570 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
37632 |
Modular degree for the optimal curve |
Δ |
1710264320 = 212 · 5 · 372 · 61 |
Discriminant |
Eigenvalues |
2+ 2 5- -4 6 -2 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-8677,-314739] |
[a1,a2,a3,a4,a6] |
j |
72262121427788761/1710264320 |
j-invariant |
L |
1.9786147690822 |
L(r)(E,1)/r! |
Ω |
0.49465369227055 |
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 |
112850n1 |
Quadratic twists by: 5 |