Atkin-Lehner |
2+ 7- 37+ |
Signs for the Atkin-Lehner involutions |
Class |
29008a |
Isogeny class |
Conductor |
29008 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
10752 |
Modular degree for the optimal curve |
Δ |
3412762192 = 24 · 78 · 37 |
Discriminant |
Eigenvalues |
2+ 0 0 7- -4 0 4 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-490,3087] |
[a1,a2,a3,a4,a6] |
j |
6912000/1813 |
j-invariant |
L |
1.3182350354313 |
L(r)(E,1)/r! |
Ω |
1.3182350354305 |
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 |
14504a1 116032be1 4144a1 |
Quadratic twists by: -4 8 -7 |