Atkin-Lehner |
2- 3+ 7- 19- 53- |
Signs for the Atkin-Lehner involutions |
Class |
126882bb |
Isogeny class |
Conductor |
126882 |
Conductor |
∏ cp |
144 |
Product of Tamagawa factors cp |
deg |
608256 |
Modular degree for the optimal curve |
Δ |
41606057299968 = 212 · 33 · 7 · 192 · 533 |
Discriminant |
Eigenvalues |
2- 3+ 0 7- 6 -4 6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-66350,6587453] |
[a1,a2,a3,a4,a6] |
Generators |
[-7269:63281:27] |
Generators of the group modulo torsion |
j |
1196400520057219875/1540965085184 |
j-invariant |
L |
13.408353769314 |
L(r)(E,1)/r! |
Ω |
0.64209606077847 |
Real period |
R |
5.2205404409992 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999970252 |
(Analytic) order of Ш |
t |
6 |
Number of elements in the torsion subgroup |
Twists |
126882e3 |
Quadratic twists by: -3 |