Atkin-Lehner |
5- 11- 23- |
Signs for the Atkin-Lehner involutions |
Class |
13915k |
Isogeny class |
Conductor |
13915 |
Conductor |
∏ cp |
9 |
Product of Tamagawa factors cp |
deg |
3744 |
Modular degree for the optimal curve |
Δ |
-42092875 = -1 · 53 · 114 · 23 |
Discriminant |
Eigenvalues |
0 0 5- 0 11- -4 -7 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-242,1482] |
[a1,a2,a3,a4,a6] |
Generators |
[-18:2:1] [0:38:1] |
Generators of the group modulo torsion |
j |
-107053056/2875 |
j-invariant |
L |
5.8050068579297 |
L(r)(E,1)/r! |
Ω |
2.0282002677647 |
Real period |
R |
0.31801630846995 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999986 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
125235j1 69575c1 13915j1 |
Quadratic twists by: -3 5 -11 |