Atkin-Lehner |
2+ 3- 29- 53+ |
Signs for the Atkin-Lehner involutions |
Class |
110664i |
Isogeny class |
Conductor |
110664 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
219648 |
Modular degree for the optimal curve |
Δ |
-168318189090288 = -1 · 24 · 317 · 29 · 532 |
Discriminant |
Eigenvalues |
2+ 3- 0 3 3 1 -3 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-7635,-674953] |
[a1,a2,a3,a4,a6] |
Generators |
[2863:153117:1] |
Generators of the group modulo torsion |
j |
-4219911328000/14430571767 |
j-invariant |
L |
8.5442895189204 |
L(r)(E,1)/r! |
Ω |
0.23470223639909 |
Real period |
R |
4.5506008111717 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000023628 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
36888d1 |
Quadratic twists by: -3 |