Atkin-Lehner |
11- 13- 29- |
Signs for the Atkin-Lehner involutions |
Class |
45617d |
Isogeny class |
Conductor |
45617 |
Conductor |
∏ cp |
18 |
Product of Tamagawa factors cp |
deg |
345600 |
Modular degree for the optimal curve |
Δ |
-1044173931901243 = -1 · 117 · 133 · 293 |
Discriminant |
Eigenvalues |
-1 2 -2 5 11- 13- -1 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-81859,-9181820] |
[a1,a2,a3,a4,a6] |
j |
-34242639807817/589408963 |
j-invariant |
L |
2.5376499422767 |
L(r)(E,1)/r! |
Ω |
0.14098055233846 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
4147c1 |
Quadratic twists by: -11 |