Atkin-Lehner |
2- 3+ 19- 79+ |
Signs for the Atkin-Lehner involutions |
Class |
72048n |
Isogeny class |
Conductor |
72048 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
20480 |
Modular degree for the optimal curve |
Δ |
-55332864 = -1 · 212 · 32 · 19 · 79 |
Discriminant |
Eigenvalues |
2- 3+ 3 0 0 -2 -2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-304,2176] |
[a1,a2,a3,a4,a6] |
Generators |
[10:-6:1] |
Generators of the group modulo torsion |
j |
-761048497/13509 |
j-invariant |
L |
6.5718229723808 |
L(r)(E,1)/r! |
Ω |
1.9903272771241 |
Real period |
R |
0.82547014355872 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999995052 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
4503d1 |
Quadratic twists by: -4 |