Atkin-Lehner |
2- 5+ 7- |
Signs for the Atkin-Lehner involutions |
Class |
78400ig |
Isogeny class |
Conductor |
78400 |
Conductor |
∏ cp |
32 |
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] |
Generators |
[410487:-5370000:1331] |
Generators of the group modulo torsion |
j |
2185454/625 |
j-invariant |
L |
9.695068503547 |
L(r)(E,1)/r! |
Ω |
0.18600124973073 |
Real period |
R |
6.5154592487697 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000846 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
78400cy2 19600z2 15680ds2 78400is2 |
Quadratic twists by: -4 8 5 -7 |