Atkin-Lehner |
2- 3+ 5+ 23- 61- |
Signs for the Atkin-Lehner involutions |
Class |
42090n |
Isogeny class |
Conductor |
42090 |
Conductor |
∏ cp |
88 |
Product of Tamagawa factors cp |
deg |
304128 |
Modular degree for the optimal curve |
Δ |
-2283963678720000 = -1 · 222 · 33 · 54 · 232 · 61 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 4 0 2 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,5744,-2290831] |
[a1,a2,a3,a4,a6] |
j |
20958600539250431/2283963678720000 |
j-invariant |
L |
4.8082731455754 |
L(r)(E,1)/r! |
Ω |
0.21855787025819 |
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 |
126270s1 |
Quadratic twists by: -3 |