Atkin-Lehner |
2- 3+ 5+ 11+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
47850bv |
Isogeny class |
Conductor |
47850 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
138240 |
Modular degree for the optimal curve |
Δ |
12790305000000 = 26 · 36 · 57 · 112 · 29 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 4 11+ 0 -2 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-7338,167031] |
[a1,a2,a3,a4,a6] |
Generators |
[-75:587:1] |
Generators of the group modulo torsion |
j |
2796665386969/818579520 |
j-invariant |
L |
9.045568714568 |
L(r)(E,1)/r! |
Ω |
0.65982336055631 |
Real period |
R |
1.1424230149203 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999881 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
9570g1 |
Quadratic twists by: 5 |