Atkin-Lehner |
2- 5- 11- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
66880di |
Isogeny class |
Conductor |
66880 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
24576 |
Modular degree for the optimal curve |
Δ |
3678400 = 26 · 52 · 112 · 19 |
Discriminant |
Eigenvalues |
2- 0 5- -2 11- -4 2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-3067,-65376] |
[a1,a2,a3,a4,a6] |
Generators |
[148:1650:1] [468:10050:1] |
Generators of the group modulo torsion |
j |
49852284646464/57475 |
j-invariant |
L |
10.166620260669 |
L(r)(E,1)/r! |
Ω |
0.64153616065145 |
Real period |
R |
15.84730664338 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000008 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
66880dc1 33440s2 |
Quadratic twists by: -4 8 |