Atkin-Lehner |
2- 3+ 5- 11+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
55770cg |
Isogeny class |
Conductor |
55770 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
282240 |
Modular degree for the optimal curve |
Δ |
-60381642938760 = -1 · 23 · 37 · 5 · 11 · 137 |
Discriminant |
Eigenvalues |
2- 3+ 5- -5 11+ 13+ -4 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,8700,-201843] |
[a1,a2,a3,a4,a6] |
Generators |
[135:1791:1] |
Generators of the group modulo torsion |
j |
15087533111/12509640 |
j-invariant |
L |
6.6140142598569 |
L(r)(E,1)/r! |
Ω |
0.3451933389917 |
Real period |
R |
1.59669319402 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999999982 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
4290c1 |
Quadratic twists by: 13 |