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 |
deg |
276480 |
Modular degree for the optimal curve |
Δ |
-393379840000000 = -1 · 221 · 57 · 74 |
Discriminant |
Eigenvalues |
2- 2 5+ 7+ 3 5 -6 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-1633,955137] |
[a1,a2,a3,a4,a6] |
j |
-49/40 |
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 |
78400n1 19600bx1 15680df1 78400iq1 |
Quadratic twists by: -4 8 5 -7 |