Atkin-Lehner |
5- 13+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
23465b |
Isogeny class |
Conductor |
23465 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
12240 |
Modular degree for the optimal curve |
Δ |
110121245 = 5 · 132 · 194 |
Discriminant |
Eigenvalues |
2 2 5- 2 -3 13+ 8 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-120,-17] |
[a1,a2,a3,a4,a6] |
j |
1478656/845 |
j-invariant |
L |
9.3675950914665 |
L(r)(E,1)/r! |
Ω |
1.5612658485778 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
117325g1 23465e1 |
Quadratic twists by: 5 -19 |