Atkin-Lehner |
2- 3- 5+ 7- 47+ |
Signs for the Atkin-Lehner involutions |
Class |
78960co |
Isogeny class |
Conductor |
78960 |
Conductor |
∏ cp |
28 |
Product of Tamagawa factors cp |
Δ |
352485683424000 = 28 · 314 · 53 · 72 · 47 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7- -4 2 -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-36436,2507864] |
[a1,a2,a3,a4,a6] |
j |
20897183020650064/1376897200875 |
j-invariant |
L |
3.7019118144337 |
L(r)(E,1)/r! |
Ω |
0.52884454531749 |
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 |
19740d2 |
Quadratic twists by: -4 |