Atkin-Lehner |
2+ 3- 5+ 23- 61- |
Signs for the Atkin-Lehner involutions |
Class |
42090g |
Isogeny class |
Conductor |
42090 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
104160 |
Modular degree for the optimal curve |
Δ |
-60504375000 = -1 · 23 · 3 · 57 · 232 · 61 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 3 -2 -1 6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-31224,2121022] |
[a1,a2,a3,a4,a6] |
j |
-3366428017431274489/60504375000 |
j-invariant |
L |
2.0388610652635 |
L(r)(E,1)/r! |
Ω |
1.0194305326723 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
126270bn1 |
Quadratic twists by: -3 |