Atkin-Lehner |
2- 3- 11- 19- |
Signs for the Atkin-Lehner involutions |
Class |
110352cj |
Isogeny class |
Conductor |
110352 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
69120 |
Modular degree for the optimal curve |
Δ |
-13729554432 = -1 · 213 · 36 · 112 · 19 |
Discriminant |
Eigenvalues |
2- 3- 2 -3 11- -7 -1 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,48,5652] |
[a1,a2,a3,a4,a6] |
Generators |
[-6:72:1] |
Generators of the group modulo torsion |
j |
24167/27702 |
j-invariant |
L |
7.5949381749384 |
L(r)(E,1)/r! |
Ω |
0.98173718870433 |
Real period |
R |
0.32234263739708 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000083783 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
13794ba1 110352by1 |
Quadratic twists by: -4 -11 |