Atkin-Lehner |
2- 3- 5- 17- 61- |
Signs for the Atkin-Lehner involutions |
Class |
31110bb |
Isogeny class |
Conductor |
31110 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
3360 |
Modular degree for the optimal curve |
Δ |
-62220 = -1 · 22 · 3 · 5 · 17 · 61 |
Discriminant |
Eigenvalues |
2- 3- 5- 2 -4 -2 17- -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,0,12] |
[a1,a2,a3,a4,a6] |
j |
-1/62220 |
j-invariant |
L |
5.5623977656638 |
L(r)(E,1)/r! |
Ω |
2.7811988828325 |
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 |
93330h1 |
Quadratic twists by: -3 |