Atkin-Lehner |
2- 3- 5+ 19- 29- |
Signs for the Atkin-Lehner involutions |
Class |
49590bs |
Isogeny class |
Conductor |
49590 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
deg |
90112 |
Modular degree for the optimal curve |
Δ |
5591371680000 = 28 · 37 · 54 · 19 · 292 |
Discriminant |
Eigenvalues |
2- 3- 5+ 0 0 2 -4 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-5288,-93333] |
[a1,a2,a3,a4,a6] |
Generators |
[-37:243:1] |
Generators of the group modulo torsion |
j |
22428153804601/7669920000 |
j-invariant |
L |
8.609257514609 |
L(r)(E,1)/r! |
Ω |
0.57542053433522 |
Real period |
R |
0.93510495812533 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999826 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
16530h1 |
Quadratic twists by: -3 |