Atkin-Lehner |
2- 5- 11- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
66880dl |
Isogeny class |
Conductor |
66880 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
30720 |
Modular degree for the optimal curve |
Δ |
5591168000 = 210 · 53 · 112 · 192 |
Discriminant |
Eigenvalues |
2- -2 5- -2 11- 2 -4 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-445,-525] |
[a1,a2,a3,a4,a6] |
Generators |
[-10:55:1] [-5:40:1] |
Generators of the group modulo torsion |
j |
9538484224/5460125 |
j-invariant |
L |
7.7405716800254 |
L(r)(E,1)/r! |
Ω |
1.1266914916564 |
Real period |
R |
1.1450297526498 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000003 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
66880bf1 16720g1 |
Quadratic twists by: -4 8 |