Atkin-Lehner |
2+ 3- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
20808k |
Isogeny class |
Conductor |
20808 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
147456 |
Modular degree for the optimal curve |
Δ |
689211400589568 = 28 · 38 · 177 |
Discriminant |
Eigenvalues |
2+ 3- 2 4 4 6 17+ 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-136119,-19288438] |
[a1,a2,a3,a4,a6] |
j |
61918288/153 |
j-invariant |
L |
4.4746272356706 |
L(r)(E,1)/r! |
Ω |
0.2485904019817 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
9 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
41616w1 6936h1 1224c1 |
Quadratic twists by: -4 -3 17 |