Atkin-Lehner |
2+ 5+ 11+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
66880b |
Isogeny class |
Conductor |
66880 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
40960 |
Modular degree for the optimal curve |
Δ |
223646720 = 210 · 5 · 112 · 192 |
Discriminant |
Eigenvalues |
2+ -2 5+ 4 11+ -4 6 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-781,8115] |
[a1,a2,a3,a4,a6] |
Generators |
[14:11:1] |
Generators of the group modulo torsion |
j |
51514894336/218405 |
j-invariant |
L |
4.0191663554551 |
L(r)(E,1)/r! |
Ω |
1.7779362994762 |
Real period |
R |
1.1302897512722 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000074 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
66880cq1 8360i1 |
Quadratic twists by: -4 8 |