Atkin-Lehner |
2+ 3- 5+ 19+ 67- |
Signs for the Atkin-Lehner involutions |
Class |
114570n |
Isogeny class |
Conductor |
114570 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
304128 |
Modular degree for the optimal curve |
Δ |
-4513874688000 = -1 · 211 · 36 · 53 · 192 · 67 |
Discriminant |
Eigenvalues |
2+ 3- 5+ -3 5 -4 6 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-4275,-147339] |
[a1,a2,a3,a4,a6] |
Generators |
[181:2142:1] |
Generators of the group modulo torsion |
j |
-11853911588401/6191872000 |
j-invariant |
L |
4.5254968034018 |
L(r)(E,1)/r! |
Ω |
0.28813225590072 |
Real period |
R |
3.9265794198473 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000129369 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
12730f1 |
Quadratic twists by: -3 |