Atkin-Lehner |
2- 5- 11+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
66880ct |
Isogeny class |
Conductor |
66880 |
Conductor |
∏ cp |
40 |
Product of Tamagawa factors cp |
deg |
122880 |
Modular degree for the optimal curve |
Δ |
16913283200000 = 210 · 55 · 114 · 192 |
Discriminant |
Eigenvalues |
2- 0 5- 2 11+ 0 -6 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-7232,129944] |
[a1,a2,a3,a4,a6] |
Generators |
[-47:605:1] |
Generators of the group modulo torsion |
j |
40850653446144/16516878125 |
j-invariant |
L |
6.642803455615 |
L(r)(E,1)/r! |
Ω |
0.62952154285309 |
Real period |
R |
1.0552146356988 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000831 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
66880bs1 16720x1 |
Quadratic twists by: -4 8 |