Atkin-Lehner |
2+ 5+ 7+ 67- |
Signs for the Atkin-Lehner involutions |
Class |
18760a |
Isogeny class |
Conductor |
18760 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
20736 |
Modular degree for the optimal curve |
Δ |
-1008957824000 = -1 · 210 · 53 · 76 · 67 |
Discriminant |
Eigenvalues |
2+ 0 5+ 7+ -4 -2 8 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,1877,36822] |
[a1,a2,a3,a4,a6] |
j |
714194618364/985310375 |
j-invariant |
L |
0.59269480263704 |
L(r)(E,1)/r! |
Ω |
0.59269480263704 |
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 |
37520a1 93800v1 |
Quadratic twists by: -4 5 |