Atkin-Lehner |
5- 11- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
13915g |
Isogeny class |
Conductor |
13915 |
Conductor |
∏ cp |
10 |
Product of Tamagawa factors cp |
deg |
538560 |
Modular degree for the optimal curve |
Δ |
-2.2682358868026E+19 |
Discriminant |
Eigenvalues |
1 -1 5- -5 11- 4 -4 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-5088052,4421308049] |
[a1,a2,a3,a4,a6] |
Generators |
[1088:12681:1] |
Generators of the group modulo torsion |
j |
-561631706258161/874503125 |
j-invariant |
L |
3.5542757670512 |
L(r)(E,1)/r! |
Ω |
0.21394294710915 |
Real period |
R |
1.6613194382322 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
125235z1 69575p1 13915i1 |
Quadratic twists by: -3 5 -11 |