Atkin-Lehner |
2- 3- 23- 101+ |
Signs for the Atkin-Lehner involutions |
Class |
41814i |
Isogeny class |
Conductor |
41814 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
deg |
81408 |
Modular degree for the optimal curve |
Δ |
-1447683973488 = -1 · 24 · 36 · 233 · 1012 |
Discriminant |
Eigenvalues |
2- 3- -2 -2 2 -6 -2 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,1069,56035] |
[a1,a2,a3,a4,a6] |
Generators |
[-226:523:8] [-11:212:1] |
Generators of the group modulo torsion |
j |
185485563927/1985849072 |
j-invariant |
L |
11.396405797087 |
L(r)(E,1)/r! |
Ω |
0.62682503616375 |
Real period |
R |
0.75754830159856 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
4646a1 |
Quadratic twists by: -3 |