Atkin-Lehner |
5- 11- 23- |
Signs for the Atkin-Lehner involutions |
Class |
13915l |
Isogeny class |
Conductor |
13915 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
16320 |
Modular degree for the optimal curve |
Δ |
-24651271315 = -1 · 5 · 118 · 23 |
Discriminant |
Eigenvalues |
2 -2 5- -3 11- 0 3 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-40,7541] |
[a1,a2,a3,a4,a6] |
j |
-4096/13915 |
j-invariant |
L |
1.9196883067713 |
L(r)(E,1)/r! |
Ω |
0.95984415338565 |
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 |
125235o1 69575i1 1265a1 |
Quadratic twists by: -3 5 -11 |