Atkin-Lehner |
2- 3+ 5+ 11+ |
Signs for the Atkin-Lehner involutions |
Class |
29040bv |
Isogeny class |
Conductor |
29040 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
12288 |
Modular degree for the optimal curve |
Δ |
408883200 = 212 · 3 · 52 · 113 |
Discriminant |
Eigenvalues |
2- 3+ 5+ -2 11+ -4 6 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-216,816] |
[a1,a2,a3,a4,a6] |
Generators |
[-14:30:1] [-7:44:1] |
Generators of the group modulo torsion |
j |
205379/75 |
j-invariant |
L |
6.5222704778822 |
L(r)(E,1)/r! |
Ω |
1.5397346616693 |
Real period |
R |
1.0589926044161 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999976 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
1815b1 116160im1 87120fe1 29040bs1 |
Quadratic twists by: -4 8 -3 -11 |