Atkin-Lehner |
2- 3+ 5+ 7- |
Signs for the Atkin-Lehner involutions |
Class |
29400cr |
Isogeny class |
Conductor |
29400 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
7002632247408000000 = 210 · 312 · 56 · 77 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7- 0 6 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-480608,15541212] |
[a1,a2,a3,a4,a6] |
Generators |
[117430:2475684:125] |
Generators of the group modulo torsion |
j |
6522128932/3720087 |
j-invariant |
L |
4.8493980806247 |
L(r)(E,1)/r! |
Ω |
0.20253795580733 |
Real period |
R |
5.9857892577402 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999999 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
58800cw3 88200ca3 1176e4 4200x3 |
Quadratic twists by: -4 -3 5 -7 |