Atkin-Lehner |
2- 7- 11- 53+ |
Signs for the Atkin-Lehner involutions |
Class |
89782bg |
Isogeny class |
Conductor |
89782 |
Conductor |
∏ cp |
132 |
Product of Tamagawa factors cp |
deg |
887040 |
Modular degree for the optimal curve |
Δ |
24549634635935024 = 24 · 711 · 114 · 53 |
Discriminant |
Eigenvalues |
2- -2 1 7- 11- 0 -6 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-161235,23738353] |
[a1,a2,a3,a4,a6] |
Generators |
[318:1997:1] [-172:6897:1] |
Generators of the group modulo torsion |
j |
31661472256694401/1676773078064 |
j-invariant |
L |
12.84103273889 |
L(r)(E,1)/r! |
Ω |
0.37302615846146 |
Real period |
R |
0.26078747789496 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999998137 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
89782d1 |
Quadratic twists by: -11 |