Atkin-Lehner |
2+ 3+ 7- 13+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
111384f |
Isogeny class |
Conductor |
111384 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
69632 |
Modular degree for the optimal curve |
Δ |
42683908176 = 24 · 33 · 7 · 132 · 174 |
Discriminant |
Eigenvalues |
2+ 3+ 2 7- -2 13+ 17- 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-894,-2655] |
[a1,a2,a3,a4,a6] |
Generators |
[-20:85:1] |
Generators of the group modulo torsion |
j |
182916347904/98805343 |
j-invariant |
L |
8.2497182375021 |
L(r)(E,1)/r! |
Ω |
0.93018235875939 |
Real period |
R |
1.1086157141944 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999970976 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
111384bm1 |
Quadratic twists by: -3 |