Atkin-Lehner |
2- 5+ 11- 53+ |
Signs for the Atkin-Lehner involutions |
Class |
29150o |
Isogeny class |
Conductor |
29150 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
deg |
230400 |
Modular degree for the optimal curve |
Δ |
1282600000000000 = 212 · 511 · 112 · 53 |
Discriminant |
Eigenvalues |
2- 0 5+ 4 11- 4 -8 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-92130,-10601503] |
[a1,a2,a3,a4,a6] |
Generators |
[799:20225:1] |
Generators of the group modulo torsion |
j |
5534806984083369/82086400000 |
j-invariant |
L |
9.3827718997106 |
L(r)(E,1)/r! |
Ω |
0.27427725546904 |
Real period |
R |
1.4253782308199 |
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 |
5830a1 |
Quadratic twists by: 5 |