Atkin-Lehner |
2+ 5+ 7- |
Signs for the Atkin-Lehner involutions |
Class |
78400u |
Isogeny class |
Conductor |
78400 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
5903156224000000 = 216 · 56 · 78 |
Discriminant |
Eigenvalues |
2+ 0 5+ 7- 4 -2 -6 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-93100,-10290000] |
[a1,a2,a3,a4,a6] |
j |
740772/49 |
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 |
4 |
Number of elements in the torsion subgroup |
Twists |
78400gz2 9800d2 3136e2 11200n2 |
Quadratic twists by: -4 8 5 -7 |