Atkin-Lehner |
5+ 11+ 67- |
Signs for the Atkin-Lehner involutions |
Class |
18425c |
Isogeny class |
Conductor |
18425 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
6840 |
Modular degree for the optimal curve |
Δ |
-269760425 = -1 · 52 · 115 · 67 |
Discriminant |
Eigenvalues |
-1 -1 5+ 4 11+ -6 0 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,32,-774] |
[a1,a2,a3,a4,a6] |
j |
144672215/10790417 |
j-invariant |
L |
0.82947136195087 |
L(r)(E,1)/r! |
Ω |
0.82947136195087 |
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 |
18425g1 |
Quadratic twists by: 5 |