Atkin-Lehner |
2+ 11- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
89056d |
Isogeny class |
Conductor |
89056 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
130560 |
Modular degree for the optimal curve |
Δ |
7257334275136 = 26 · 118 · 232 |
Discriminant |
Eigenvalues |
2+ 0 2 0 11- 2 -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-20449,1118040] |
[a1,a2,a3,a4,a6] |
j |
8340725952/64009 |
j-invariant |
L |
0.74834021414491 |
L(r)(E,1)/r! |
Ω |
0.7483403458142 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
89056g1 8096g1 |
Quadratic twists by: -4 -11 |