Atkin-Lehner |
2+ 3- 11- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
13794o |
Isogeny class |
Conductor |
13794 |
Conductor |
∏ cp |
60 |
Product of Tamagawa factors cp |
deg |
475200 |
Modular degree for the optimal curve |
Δ |
-5142763763611608024 = -1 · 23 · 315 · 119 · 19 |
Discriminant |
Eigenvalues |
2+ 3- 3 -2 11- 4 -3 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-1381702,-634694128] |
[a1,a2,a3,a4,a6] |
Generators |
[12880:1449008:1] |
Generators of the group modulo torsion |
j |
-164668416049678897/2902956072984 |
j-invariant |
L |
5.0791937484469 |
L(r)(E,1)/r! |
Ω |
0.069552327654817 |
Real period |
R |
1.2171156882184 |
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 |
110352bm1 41382cc1 1254j1 |
Quadratic twists by: -4 -3 -11 |