Atkin-Lehner |
2- 3+ 11- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
13794y |
Isogeny class |
Conductor |
13794 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
25600 |
Modular degree for the optimal curve |
Δ |
32717188548 = 22 · 35 · 116 · 19 |
Discriminant |
Eigenvalues |
2- 3+ 0 -4 11- 0 2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-11558,473375] |
[a1,a2,a3,a4,a6] |
Generators |
[-67:1009:1] |
Generators of the group modulo torsion |
j |
96386901625/18468 |
j-invariant |
L |
5.2280033462835 |
L(r)(E,1)/r! |
Ω |
1.1335208630736 |
Real period |
R |
4.6121809633987 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
110352cf1 41382p1 114b1 |
Quadratic twists by: -4 -3 -11 |