Atkin-Lehner |
2- 43- 61+ |
Signs for the Atkin-Lehner involutions |
Class |
41968c |
Isogeny class |
Conductor |
41968 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
7296 |
Modular degree for the optimal curve |
Δ |
-28873984 = -1 · 28 · 432 · 61 |
Discriminant |
Eigenvalues |
2- 2 -1 3 3 1 0 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-36,284] |
[a1,a2,a3,a4,a6] |
Generators |
[-7:12:1] |
Generators of the group modulo torsion |
j |
-20720464/112789 |
j-invariant |
L |
9.2322865768296 |
L(r)(E,1)/r! |
Ω |
1.8157759202419 |
Real period |
R |
2.5422428158433 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999966 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
10492a1 |
Quadratic twists by: -4 |