Atkin-Lehner |
2+ 5+ 11- 73+ |
Signs for the Atkin-Lehner involutions |
Class |
88330b |
Isogeny class |
Conductor |
88330 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
16308864 |
Modular degree for the optimal curve |
Δ |
1.281900405801E+23 |
Discriminant |
Eigenvalues |
2+ 0 5+ -1 11- 6 -3 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-214819490,1211808529300] |
[a1,a2,a3,a4,a6] |
j |
5114501091012446390169/598016000000000 |
j-invariant |
L |
0.20036037110933 |
L(r)(E,1)/r! |
Ω |
0.10018019129997 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
88330z1 |
Quadratic twists by: -11 |