Atkin-Lehner |
2- 3- 11- 59+ |
Signs for the Atkin-Lehner involutions |
Class |
42834bf |
Isogeny class |
Conductor |
42834 |
Conductor |
∏ cp |
20 |
Product of Tamagawa factors cp |
deg |
806400 |
Modular degree for the optimal curve |
Δ |
-195536641583225184 = -1 · 25 · 3 · 1113 · 59 |
Discriminant |
Eigenvalues |
2- 3- -1 -4 11- 6 3 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-123846,-27103548] |
[a1,a2,a3,a4,a6] |
j |
-118580635373689/110375336544 |
j-invariant |
L |
2.4510750298205 |
L(r)(E,1)/r! |
Ω |
0.12255375148926 |
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 |
128502w1 3894f1 |
Quadratic twists by: -3 -11 |