Atkin-Lehner |
5+ 7- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
29435f |
Isogeny class |
Conductor |
29435 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
80640 |
Modular degree for the optimal curve |
Δ |
-87543122268175 = -1 · 52 · 7 · 298 |
Discriminant |
Eigenvalues |
1 -2 5+ 7- 0 -2 0 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-5064,-471463] |
[a1,a2,a3,a4,a6] |
j |
-24137569/147175 |
j-invariant |
L |
0.50586214326193 |
L(r)(E,1)/r! |
Ω |
0.25293107163089 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
1015a1 |
Quadratic twists by: 29 |