Atkin-Lehner |
2- 3- 5- 19- 31- |
Signs for the Atkin-Lehner involutions |
Class |
88350dc |
Isogeny class |
Conductor |
88350 |
Conductor |
∏ cp |
360 |
Product of Tamagawa factors cp |
deg |
529920 |
Modular degree for the optimal curve |
Δ |
89109725184000 = 218 · 35 · 53 · 192 · 31 |
Discriminant |
Eigenvalues |
2- 3- 5- -4 -4 -6 -4 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-16998,720612] |
[a1,a2,a3,a4,a6] |
Generators |
[-1146:4335:8] [12:-726:1] |
Generators of the group modulo torsion |
j |
4345189993058741/712877801472 |
j-invariant |
L |
16.58007510303 |
L(r)(E,1)/r! |
Ω |
0.5771790614022 |
Real period |
R |
0.31917834346978 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999998123 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
88350x1 |
Quadratic twists by: 5 |