Atkin-Lehner |
3- 5+ 7+ 59+ |
Signs for the Atkin-Lehner involutions |
Class |
18585c |
Isogeny class |
Conductor |
18585 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
13440 |
Modular degree for the optimal curve |
Δ |
-55511071875 = -1 · 36 · 55 · 7 · 592 |
Discriminant |
Eigenvalues |
0 3- 5+ 7+ 5 3 1 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,72,11333] |
[a1,a2,a3,a4,a6] |
j |
56623104/76146875 |
j-invariant |
L |
1.7491109789905 |
L(r)(E,1)/r! |
Ω |
0.87455548949523 |
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 |
2065a1 92925m1 |
Quadratic twists by: -3 5 |