Atkin-Lehner |
2- 3- 11- 19- |
Signs for the Atkin-Lehner involutions |
Class |
47652k |
Isogeny class |
Conductor |
47652 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
98496 |
Modular degree for the optimal curve |
Δ |
540250166016 = 28 · 312 · 11 · 192 |
Discriminant |
Eigenvalues |
2- 3- -1 3 11- 2 -2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-49596,-4267692] |
[a1,a2,a3,a4,a6] |
Generators |
[-129:12:1] |
Generators of the group modulo torsion |
j |
145990721706064/5845851 |
j-invariant |
L |
7.9704202571679 |
L(r)(E,1)/r! |
Ω |
0.31991765339274 |
Real period |
R |
2.0761645412661 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999738 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
47652d1 |
Quadratic twists by: -19 |