Atkin-Lehner |
2+ 3- 5+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
18720g |
Isogeny class |
Conductor |
18720 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
236544 |
Modular degree for the optimal curve |
Δ |
-960967800000000000 = -1 · 212 · 37 · 511 · 133 |
Discriminant |
Eigenvalues |
2+ 3- 5+ -1 -3 13+ -3 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-845688,-303031888] |
[a1,a2,a3,a4,a6] |
j |
-22400965661211136/321826171875 |
j-invariant |
L |
0.31459803548029 |
L(r)(E,1)/r! |
Ω |
0.078649508870072 |
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 |
18720e1 37440fp1 6240x1 93600dw1 |
Quadratic twists by: -4 8 -3 5 |