Atkin-Lehner |
2- 5+ 7+ |
Signs for the Atkin-Lehner involutions |
Class |
78400gk |
Isogeny class |
Conductor |
78400 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
Δ |
-2458624000000000 = -1 · 219 · 59 · 74 |
Discriminant |
Eigenvalues |
2- 2 5+ 7+ 3 5 -6 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-785633,268299137] |
[a1,a2,a3,a4,a6] |
j |
-5452947409/250 |
j-invariant |
L |
5.1752334885404 |
L(r)(E,1)/r! |
Ω |
0.43126945625016 |
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 |
78400n2 19600bx2 15680df2 78400iq2 |
Quadratic twists by: -4 8 5 -7 |