Atkin-Lehner |
2- 5- 11+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
66880cw |
Isogeny class |
Conductor |
66880 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
18432 |
Modular degree for the optimal curve |
Δ |
6353600 = 26 · 52 · 11 · 192 |
Discriminant |
Eigenvalues |
2- 2 5- 0 11+ 4 6 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-360,2750] |
[a1,a2,a3,a4,a6] |
Generators |
[2670:1295:216] |
Generators of the group modulo torsion |
j |
80845724224/99275 |
j-invariant |
L |
10.80784063485 |
L(r)(E,1)/r! |
Ω |
2.3736114970247 |
Real period |
R |
4.5533317682233 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000025 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
66880ds1 33440k2 |
Quadratic twists by: -4 8 |