Atkin-Lehner |
2- 3- 29+ 61- |
Signs for the Atkin-Lehner involutions |
Class |
31842y |
Isogeny class |
Conductor |
31842 |
Conductor |
∏ cp |
120 |
Product of Tamagawa factors cp |
deg |
115200 |
Modular degree for the optimal curve |
Δ |
-626385080254464 = -1 · 215 · 311 · 29 · 612 |
Discriminant |
Eigenvalues |
2- 3- -1 -3 -2 -2 -5 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-1103,1204503] |
[a1,a2,a3,a4,a6] |
Generators |
[-1:1098:1] [-79:930:1] |
Generators of the group modulo torsion |
j |
-203401212841/859238793216 |
j-invariant |
L |
10.707880288161 |
L(r)(E,1)/r! |
Ω |
0.41190208920057 |
Real period |
R |
0.21663482190114 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
10614d1 |
Quadratic twists by: -3 |