Atkin-Lehner |
2+ 3- 5+ 7- |
Signs for the Atkin-Lehner involutions |
Class |
29400bx |
Isogeny class |
Conductor |
29400 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
-1.815912315E+20 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7- -6 -2 4 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-706008,-687610512] |
[a1,a2,a3,a4,a6] |
Generators |
[119069496610593:-1972470958637500:94258496151] |
Generators of the group modulo torsion |
j |
-30138446/140625 |
j-invariant |
L |
6.0805850425285 |
L(r)(E,1)/r! |
Ω |
0.074597505400173 |
Real period |
R |
20.377977151882 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
58800bk2 88200hn2 5880ba2 29400u2 |
Quadratic twists by: -4 -3 5 -7 |