Atkin-Lehner |
2- 3+ 5+ 11+ |
Signs for the Atkin-Lehner involutions |
Class |
29040bv |
Isogeny class |
Conductor |
29040 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
-30666240000 = -1 · 212 · 32 · 54 · 113 |
Discriminant |
Eigenvalues |
2- 3+ 5+ -2 11+ -4 6 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,664,5040] |
[a1,a2,a3,a4,a6] |
Generators |
[-4:48:1] [4:88:1] |
Generators of the group modulo torsion |
j |
5929741/5625 |
j-invariant |
L |
6.5222704778822 |
L(r)(E,1)/r! |
Ω |
0.76986733083466 |
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 |
1815b2 116160im2 87120fe2 29040bs2 |
Quadratic twists by: -4 8 -3 -11 |