Atkin-Lehner |
2+ 5- 11- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
66880bm |
Isogeny class |
Conductor |
66880 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
8773632 |
Modular degree for the optimal curve |
Δ |
-1.1241798695669E+25 |
Discriminant |
Eigenvalues |
2+ -1 5- -1 11- 5 -3 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,24260415,-154627910975] |
[a1,a2,a3,a4,a6] |
Generators |
[178015:75135280:1] |
Generators of the group modulo torsion |
j |
6023909647291870865231/42884058745074483200 |
j-invariant |
L |
5.0384277136462 |
L(r)(E,1)/r! |
Ω |
0.035738230256241 |
Real period |
R |
8.8113409612485 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999988424 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
66880dd1 2090k1 |
Quadratic twists by: -4 8 |