Atkin-Lehner |
3+ 5+ 83- |
Signs for the Atkin-Lehner involutions |
Class |
18675d |
Isogeny class |
Conductor |
18675 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
132480 |
Modular degree for the optimal curve |
Δ |
-6620907568359375 = -1 · 39 · 511 · 832 |
Discriminant |
Eigenvalues |
-1 3+ 5+ -4 6 0 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,25270,3590272] |
[a1,a2,a3,a4,a6] |
j |
5802888573/21528125 |
j-invariant |
L |
0.5998928612701 |
L(r)(E,1)/r! |
Ω |
0.29994643063505 |
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 |
18675a1 3735b1 |
Quadratic twists by: -3 5 |