Atkin-Lehner |
2- 3+ 19- 53- |
Signs for the Atkin-Lehner involutions |
Class |
114798r |
Isogeny class |
Conductor |
114798 |
Conductor |
∏ cp |
88 |
Product of Tamagawa factors cp |
deg |
3421440 |
Modular degree for the optimal curve |
Δ |
5365061998646132736 = 222 · 33 · 197 · 53 |
Discriminant |
Eigenvalues |
2- 3+ -1 -1 0 -4 -2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-2744871,1745679837] |
[a1,a2,a3,a4,a6] |
Generators |
[1043:-4854:1] [-105:45138:1] |
Generators of the group modulo torsion |
j |
48614736127265209/114038931456 |
j-invariant |
L |
13.612235715524 |
L(r)(E,1)/r! |
Ω |
0.24198805947817 |
Real period |
R |
0.6392236752834 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.000000000084 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
6042h1 |
Quadratic twists by: -19 |