Atkin-Lehner |
2+ 3- 5+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
29040bf |
Isogeny class |
Conductor |
29040 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
49920 |
Modular degree for the optimal curve |
Δ |
281107200000 = 211 · 3 · 55 · 114 |
Discriminant |
Eigenvalues |
2+ 3- 5+ -5 11- -1 3 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-1976,-22860] |
[a1,a2,a3,a4,a6] |
Generators |
[-36:54:1] |
Generators of the group modulo torsion |
j |
28471058/9375 |
j-invariant |
L |
4.6101679503709 |
L(r)(E,1)/r! |
Ω |
0.73489566331148 |
Real period |
R |
3.136613930743 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999999 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
14520g1 116160hg1 87120cq1 29040be1 |
Quadratic twists by: -4 8 -3 -11 |