Atkin-Lehner |
2- 5+ 67+ |
Signs for the Atkin-Lehner involutions |
Class |
5360j |
Isogeny class |
Conductor |
5360 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
7296 |
Modular degree for the optimal curve |
Δ |
-719407022080 = -1 · 231 · 5 · 67 |
Discriminant |
Eigenvalues |
2- 2 5+ -1 3 -4 4 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,704,39936] |
[a1,a2,a3,a4,a6] |
j |
9407293631/175636480 |
j-invariant |
L |
2.6933822718234 |
L(r)(E,1)/r! |
Ω |
0.67334556795585 |
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 |
670d1 21440bf1 48240bu1 26800bb1 |
Quadratic twists by: -4 8 -3 5 |