Atkin-Lehner |
2- 3- 5+ 7+ 47- |
Signs for the Atkin-Lehner involutions |
Class |
78960cl |
Isogeny class |
Conductor |
78960 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
-27591728065413120 = -1 · 218 · 34 · 5 · 76 · 472 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7+ -2 -2 4 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-21056,-8084940] |
[a1,a2,a3,a4,a6] |
j |
-252064685855809/6736261734720 |
j-invariant |
L |
1.2997911243475 |
L(r)(E,1)/r! |
Ω |
0.16247388859337 |
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 |
9870o2 |
Quadratic twists by: -4 |