Atkin-Lehner |
2+ 7+ 13- 89+ |
Signs for the Atkin-Lehner involutions |
Class |
113386a |
Isogeny class |
Conductor |
113386 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
115680 |
Modular degree for the optimal curve |
Δ |
-253171889152 = -1 · 210 · 74 · 13 · 892 |
Discriminant |
Eigenvalues |
2+ 2 0 7+ -3 13- 3 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-25,-24219] |
[a1,a2,a3,a4,a6] |
j |
-765625/105444352 |
j-invariant |
L |
1.800545486069 |
L(r)(E,1)/r! |
Ω |
0.45013659446579 |
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 |
113386g1 |
Quadratic twists by: -7 |