Atkin-Lehner |
2- 7- 11- 53+ |
Signs for the Atkin-Lehner involutions |
Class |
89782bi |
Isogeny class |
Conductor |
89782 |
Conductor |
∏ cp |
93 |
Product of Tamagawa factors cp |
deg |
6219840 |
Modular degree for the optimal curve |
Δ |
-1.7078324313965E+20 |
Discriminant |
Eigenvalues |
2- -2 -4 7- 11- -5 -6 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-1251445,827958561] |
[a1,a2,a3,a4,a6] |
Generators |
[978:-23721:1] [-958:34359:1] |
Generators of the group modulo torsion |
j |
-1011154583814001/796716433408 |
j-invariant |
L |
8.6910321273693 |
L(r)(E,1)/r! |
Ω |
0.16608139025504 |
Real period |
R |
0.56268771722447 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000293 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
89782g1 |
Quadratic twists by: -11 |