Atkin-Lehner |
3- 5+ 83+ |
Signs for the Atkin-Lehner involutions |
Class |
18675h |
Isogeny class |
Conductor |
18675 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
599040 |
Modular degree for the optimal curve |
Δ |
1.9081087783813E+20 |
Discriminant |
Eigenvalues |
-1 3- 5+ 0 -2 -4 -4 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-7806380,8370640622] |
[a1,a2,a3,a4,a6] |
j |
4618757595675440881/16751572265625 |
j-invariant |
L |
0.36015569836192 |
L(r)(E,1)/r! |
Ω |
0.18007784918096 |
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 |
6225g1 3735c1 |
Quadratic twists by: -3 5 |