Atkin-Lehner |
2- 3- 5- 7+ 47+ |
Signs for the Atkin-Lehner involutions |
Class |
78960cv |
Isogeny class |
Conductor |
78960 |
Conductor |
∏ cp |
256 |
Product of Tamagawa factors cp |
Δ |
531904557219840000 = 223 · 38 · 54 · 7 · 472 |
Discriminant |
Eigenvalues |
2- 3- 5- 7+ 0 -6 6 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-8026324600,-276775338707500] |
[a1,a2,a3,a4,a6] |
j |
13960916274686234686150768241401/129859511040000 |
j-invariant |
L |
4.0832910786543 |
L(r)(E,1)/r! |
Ω |
0.015950355786268 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
9870d2 |
Quadratic twists by: -4 |