Atkin-Lehner |
2+ 3- 7- 19- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
128478bn |
Isogeny class |
Conductor |
128478 |
Conductor |
∏ cp |
144 |
Product of Tamagawa factors cp |
deg |
88418304 |
Modular degree for the optimal curve |
Δ |
1.8376251790084E+26 |
Discriminant |
Eigenvalues |
2+ 3- -2 7- -6 -6 4 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-156061057,371088661556] |
[a1,a2,a3,a4,a6] |
j |
3572885513196319527503353/1561955629889212121088 |
j-invariant |
L |
1.8436138322053 |
L(r)(E,1)/r! |
Ω |
0.051211503737719 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
18354a1 |
Quadratic twists by: -7 |