Atkin-Lehner |
2- 5- 11- 73- |
Signs for the Atkin-Lehner involutions |
Class |
88330bk |
Isogeny class |
Conductor |
88330 |
Conductor |
∏ cp |
27 |
Product of Tamagawa factors cp |
deg |
874800 |
Modular degree for the optimal curve |
Δ |
86787835738193920 = 227 · 5 · 116 · 73 |
Discriminant |
Eigenvalues |
2- -1 5- -3 11- 0 -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-229600,-39998463] |
[a1,a2,a3,a4,a6] |
Generators |
[-235:1141:1] |
Generators of the group modulo torsion |
j |
755585074684441/48989470720 |
j-invariant |
L |
6.8510147258454 |
L(r)(E,1)/r! |
Ω |
0.21898784947715 |
Real period |
R |
1.1587002969469 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999970634 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
730d1 |
Quadratic twists by: -11 |