Atkin-Lehner |
2+ 5+ 7- |
Signs for the Atkin-Lehner involutions |
Class |
78400u |
Isogeny class |
Conductor |
78400 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
578509309952000000 = 217 · 56 · 710 |
Discriminant |
Eigenvalues |
2+ 0 5+ 7- 4 -2 -6 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-289100,47334000] |
[a1,a2,a3,a4,a6] |
j |
11090466/2401 |
j-invariant |
L |
1.0977990795086 |
L(r)(E,1)/r! |
Ω |
0.27444976270593 |
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 |
78400gz3 9800d4 3136e4 11200n3 |
Quadratic twists by: -4 8 5 -7 |