Atkin-Lehner |
5+ 13- 19- |
Signs for the Atkin-Lehner involutions |
Class |
23465a |
Isogeny class |
Conductor |
23465 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
13104 |
Modular degree for the optimal curve |
Δ |
3057982265 = 5 · 13 · 196 |
Discriminant |
Eigenvalues |
1 2 5+ -4 2 13- 2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-368,-733] |
[a1,a2,a3,a4,a6] |
Generators |
[4499334:65720953:19683] |
Generators of the group modulo torsion |
j |
117649/65 |
j-invariant |
L |
7.0375890980912 |
L(r)(E,1)/r! |
Ω |
1.1665920582221 |
Real period |
R |
12.065210025202 |
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 |
117325c1 65a1 |
Quadratic twists by: 5 -19 |