Atkin-Lehner |
3- 5+ 11+ 59- |
Signs for the Atkin-Lehner involutions |
Class |
29205g |
Isogeny class |
Conductor |
29205 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
233472 |
Modular degree for the optimal curve |
Δ |
9390044315025 = 314 · 52 · 113 · 59 |
Discriminant |
Eigenvalues |
-1 3- 5+ 4 11+ 2 6 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-368348,86138822] |
[a1,a2,a3,a4,a6] |
Generators |
[2814:-1141:8] |
Generators of the group modulo torsion |
j |
7581759897119792761/12880719225 |
j-invariant |
L |
3.6657992806378 |
L(r)(E,1)/r! |
Ω |
0.62281931953477 |
Real period |
R |
2.9429074899089 |
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 |
9735j1 |
Quadratic twists by: -3 |