Atkin-Lehner |
2+ 3- 7+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
52416bk |
Isogeny class |
Conductor |
52416 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
98304 |
Modular degree for the optimal curve |
Δ |
40236460992 = 26 · 312 · 7 · 132 |
Discriminant |
Eigenvalues |
2+ 3- 0 7+ 6 13+ -8 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-14115,645388] |
[a1,a2,a3,a4,a6] |
j |
6665900968000/862407 |
j-invariant |
L |
2.2113030574982 |
L(r)(E,1)/r! |
Ω |
1.1056515284501 |
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 |
52416ck1 26208bk2 17472t1 |
Quadratic twists by: -4 8 -3 |