Atkin-Lehner |
2- 11- 59- |
Signs for the Atkin-Lehner involutions |
Class |
114224s |
Isogeny class |
Conductor |
114224 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
134400 |
Modular degree for the optimal curve |
Δ |
-1712490070016 = -1 · 214 · 116 · 59 |
Discriminant |
Eigenvalues |
2- 1 -3 -1 11- 2 2 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,928,62324] |
[a1,a2,a3,a4,a6] |
Generators |
[-4:242:1] [74:736:1] |
Generators of the group modulo torsion |
j |
12167/236 |
j-invariant |
L |
11.462822405113 |
L(r)(E,1)/r! |
Ω |
0.62691101372834 |
Real period |
R |
2.2855760535076 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999998705 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
14278f1 944i1 |
Quadratic twists by: -4 -11 |