Atkin-Lehner |
5+ 11- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
13915b |
Isogeny class |
Conductor |
13915 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
deg |
11880 |
Modular degree for the optimal curve |
Δ |
-24651271315 = -1 · 5 · 118 · 23 |
Discriminant |
Eigenvalues |
0 -2 5+ -1 11- -4 3 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-6211,186500] |
[a1,a2,a3,a4,a6] |
j |
-123633664/115 |
j-invariant |
L |
0.39621986711551 |
L(r)(E,1)/r! |
Ω |
1.1886596013465 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
125235bn1 69575k1 13915a1 |
Quadratic twists by: -3 5 -11 |