Atkin-Lehner |
2- 3- 7- 23- |
Signs for the Atkin-Lehner involutions |
Class |
66654cc |
Isogeny class |
Conductor |
66654 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
deg |
2838528 |
Modular degree for the optimal curve |
Δ |
8022965750253748224 = 224 · 317 · 7 · 232 |
Discriminant |
Eigenvalues |
2- 3- -3 7- -2 0 -7 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-4452359,3614585087] |
[a1,a2,a3,a4,a6] |
Generators |
[915:17038:1] |
Generators of the group modulo torsion |
j |
25311095642246736793/20804234379264 |
j-invariant |
L |
7.3850460172206 |
L(r)(E,1)/r! |
Ω |
0.2317726831292 |
Real period |
R |
0.33190953155715 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999992492 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
22218p1 66654br1 |
Quadratic twists by: -3 -23 |