Atkin-Lehner |
2- 23+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
88412d |
Isogeny class |
Conductor |
88412 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
16308480 |
Modular degree for the optimal curve |
Δ |
-4.3564666116219E+22 |
Discriminant |
Eigenvalues |
2- 3 -4 -1 4 -2 3 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,7835033,-5439538690] |
[a1,a2,a3,a4,a6] |
Generators |
[646440657457521:42147000045315278:451394172711] |
Generators of the group modulo torsion |
j |
7858705104/6436343 |
j-invariant |
L |
9.5285807455658 |
L(r)(E,1)/r! |
Ω |
0.063157405298839 |
Real period |
R |
25.145060716369 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
88412h1 |
Quadratic twists by: -31 |