Atkin-Lehner |
2- 3- 5+ 7+ 47- |
Signs for the Atkin-Lehner involutions |
Class |
29610v |
Isogeny class |
Conductor |
29610 |
Conductor |
∏ cp |
22 |
Product of Tamagawa factors cp |
deg |
266112 |
Modular degree for the optimal curve |
Δ |
-2368703792609280 = -1 · 211 · 315 · 5 · 73 · 47 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7+ 4 1 -2 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-186818,-31120959] |
[a1,a2,a3,a4,a6] |
j |
-989122678774193881/3249250744320 |
j-invariant |
L |
2.5255287705311 |
L(r)(E,1)/r! |
Ω |
0.114796762297 |
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 |
9870b1 |
Quadratic twists by: -3 |