Atkin-Lehner |
2- 5+ 11- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
66880ci |
Isogeny class |
Conductor |
66880 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
24576 |
Modular degree for the optimal curve |
Δ |
-3424256000 = -1 · 217 · 53 · 11 · 19 |
Discriminant |
Eigenvalues |
2- 1 5+ -2 11- 5 2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-1,2815] |
[a1,a2,a3,a4,a6] |
Generators |
[15:80:1] |
Generators of the group modulo torsion |
j |
-2/26125 |
j-invariant |
L |
6.3834525979057 |
L(r)(E,1)/r! |
Ω |
1.1202107208784 |
Real period |
R |
1.4246097808187 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999995934 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
66880g1 16720n1 |
Quadratic twists by: -4 8 |