Atkin-Lehner |
2+ 5+ 7- |
Signs for the Atkin-Lehner involutions |
Class |
78400y |
Isogeny class |
Conductor |
78400 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
5.903156224E+19 |
Discriminant |
Eigenvalues |
2+ 0 5+ 7- -4 6 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1386700,508326000] |
[a1,a2,a3,a4,a6] |
j |
611960049/122500 |
j-invariant |
L |
0.7493465443048 |
L(r)(E,1)/r! |
Ω |
0.18733663193319 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
78400gy2 2450e2 15680f2 11200p2 |
Quadratic twists by: -4 8 5 -7 |