Atkin-Lehner |
2+ 5+ 47- |
Signs for the Atkin-Lehner involutions |
Class |
18800c |
Isogeny class |
Conductor |
18800 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
21888 |
Modular degree for the optimal curve |
Δ |
-113100800 = -1 · 211 · 52 · 472 |
Discriminant |
Eigenvalues |
2+ -1 5+ 0 -5 4 3 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-27648,-1760288] |
[a1,a2,a3,a4,a6] |
j |
-45652085444690/2209 |
j-invariant |
L |
1.4809565113826 |
L(r)(E,1)/r! |
Ω |
0.18511956392283 |
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 |
9400h1 75200cp1 18800g1 |
Quadratic twists by: -4 8 5 |