Atkin-Lehner |
2+ 3- 19- 41- |
Signs for the Atkin-Lehner involutions |
Class |
88806j |
Isogeny class |
Conductor |
88806 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
288000 |
Modular degree for the optimal curve |
Δ |
112584933270528 = 210 · 3 · 197 · 41 |
Discriminant |
Eigenvalues |
2+ 3- 0 2 -4 -2 -2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-13726,-351088] |
[a1,a2,a3,a4,a6] |
j |
6078390625/2393088 |
j-invariant |
L |
0.91242788795986 |
L(r)(E,1)/r! |
Ω |
0.45621390532327 |
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 |
4674e1 |
Quadratic twists by: -19 |