Atkin-Lehner |
2+ 7- 11- 53- |
Signs for the Atkin-Lehner involutions |
Class |
89782p |
Isogeny class |
Conductor |
89782 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
2150400 |
Modular degree for the optimal curve |
Δ |
-3.3423856758257E+19 |
Discriminant |
Eigenvalues |
2+ 0 -2 7- 11- -2 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-1199798,577570164] |
[a1,a2,a3,a4,a6] |
Generators |
[-7610:238061:8] [1020:19842:1] |
Generators of the group modulo torsion |
j |
-107818231938348177/18866895781888 |
j-invariant |
L |
7.4239668441668 |
L(r)(E,1)/r! |
Ω |
0.19940827152473 |
Real period |
R |
9.3074961069246 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000737 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
8162g1 |
Quadratic twists by: -11 |