Atkin-Lehner |
2+ 5+ 7- |
Signs for the Atkin-Lehner involutions |
Class |
78400cy |
Isogeny class |
Conductor |
78400 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
5.165261696E+19 |
Discriminant |
Eigenvalues |
2+ -2 5+ 7- -4 -2 0 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-1177633,-350227137] |
[a1,a2,a3,a4,a6] |
j |
2185454/625 |
j-invariant |
L |
0.59232780291154 |
L(r)(E,1)/r! |
Ω |
0.14808194315905 |
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 |
78400ig2 9800i2 15680bv2 78400cn2 |
Quadratic twists by: -4 8 5 -7 |