Atkin-Lehner |
2- 3- 13+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
29016m |
Isogeny class |
Conductor |
29016 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
138240 |
Modular degree for the optimal curve |
Δ |
-3467622755800944 = -1 · 24 · 316 · 132 · 313 |
Discriminant |
Eigenvalues |
2- 3- 3 3 0 13+ -2 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-17211,-2963477] |
[a1,a2,a3,a4,a6] |
j |
-48338649741568/297292760271 |
j-invariant |
L |
4.4687059894162 |
L(r)(E,1)/r! |
Ω |
0.18619608289233 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
58032e1 9672e1 |
Quadratic twists by: -4 -3 |