Atkin-Lehner |
2- 3+ 5+ 11- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
55770bw |
Isogeny class |
Conductor |
55770 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
deg |
5419008 |
Modular degree for the optimal curve |
Δ |
-2.6475016527193E+22 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 2 11- 13+ -4 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-7346856,10952932869] |
[a1,a2,a3,a4,a6] |
Generators |
[-12858:1097845:8] |
Generators of the group modulo torsion |
j |
-9085904860560159241/5484993611139900 |
j-invariant |
L |
7.7806441422827 |
L(r)(E,1)/r! |
Ω |
0.11006191570766 |
Real period |
R |
4.4183335876614 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999823 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
4290g1 |
Quadratic twists by: 13 |