Atkin-Lehner |
3- 5+ 17- 73- |
Signs for the Atkin-Lehner involutions |
Class |
55845h |
Isogeny class |
Conductor |
55845 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
2314240 |
Modular degree for the optimal curve |
Δ |
3.3516089612661E+19 |
Discriminant |
Eigenvalues |
-1 3- 5+ -2 -6 -6 17- 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-2295158,1309609356] |
[a1,a2,a3,a4,a6] |
j |
1834145439776753143321/45975431567435625 |
j-invariant |
L |
0.8270311188723 |
L(r)(E,1)/r! |
Ω |
0.20675777965686 |
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 |
18615d1 |
Quadratic twists by: -3 |