Atkin-Lehner |
2- 3- 7+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
88872y |
Isogeny class |
Conductor |
88872 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
6518016 |
Modular degree for the optimal curve |
Δ |
-5.582054910542E+22 |
Discriminant |
Eigenvalues |
2- 3- -2 7+ -1 0 6 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,3228311,11146915115] |
[a1,a2,a3,a4,a6] |
j |
8069733376/121060821 |
j-invariant |
L |
2.9848312272338 |
L(r)(E,1)/r! |
Ω |
0.082911980895661 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
9 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
88872bb1 |
Quadratic twists by: -23 |