Atkin-Lehner |
2- 11- 13+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
91234t |
Isogeny class |
Conductor |
91234 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
345600 |
Modular degree for the optimal curve |
Δ |
-6546545027594 = -1 · 2 · 116 · 133 · 292 |
Discriminant |
Eigenvalues |
2- 1 3 1 11- 13+ -3 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-45559,-3748733] |
[a1,a2,a3,a4,a6] |
j |
-5903244155017/3695354 |
j-invariant |
L |
5.8818256506626 |
L(r)(E,1)/r! |
Ω |
0.16338405040781 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
9 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
754a1 |
Quadratic twists by: -11 |