Atkin-Lehner |
2- 3+ 7- 13+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
15834o |
Isogeny class |
Conductor |
15834 |
Conductor |
∏ cp |
110 |
Product of Tamagawa factors cp |
deg |
36960 |
Modular degree for the optimal curve |
Δ |
-9459954137088 = -1 · 211 · 36 · 75 · 13 · 29 |
Discriminant |
Eigenvalues |
2- 3+ -2 7- 2 13+ -1 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-644,147845] |
[a1,a2,a3,a4,a6] |
Generators |
[9:-383:1] |
Generators of the group modulo torsion |
j |
-29540882258497/9459954137088 |
j-invariant |
L |
5.8487700562025 |
L(r)(E,1)/r! |
Ω |
0.59202960579819 |
Real period |
R |
0.089810773572518 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
126672br1 47502q1 110838cn1 |
Quadratic twists by: -4 -3 -7 |