Atkin-Lehner |
2+ 3- 11+ 67+ |
Signs for the Atkin-Lehner involutions |
Class |
53064f |
Isogeny class |
Conductor |
53064 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
22528 |
Modular degree for the optimal curve |
Δ |
4538882304 = 28 · 37 · 112 · 67 |
Discriminant |
Eigenvalues |
2+ 3- -2 2 11+ 0 4 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-471,-2230] |
[a1,a2,a3,a4,a6] |
j |
61918288/24321 |
j-invariant |
L |
2.1196921474506 |
L(r)(E,1)/r! |
Ω |
1.0598460745742 |
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 |
106128r1 17688g1 |
Quadratic twists by: -4 -3 |