Atkin-Lehner |
2- 5+ 37- 61- |
Signs for the Atkin-Lehner involutions |
Class |
22570g |
Isogeny class |
Conductor |
22570 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
5024 |
Modular degree for the optimal curve |
Δ |
1670180 = 22 · 5 · 372 · 61 |
Discriminant |
Eigenvalues |
2- -2 5+ 0 -2 6 -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-31,21] |
[a1,a2,a3,a4,a6] |
j |
3301293169/1670180 |
j-invariant |
L |
2.3518536408654 |
L(r)(E,1)/r! |
Ω |
2.3518536408654 |
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 |
112850a1 |
Quadratic twists by: 5 |