Atkin-Lehner |
2+ 19+ 41+ |
Signs for the Atkin-Lehner involutions |
Class |
29602a |
Isogeny class |
Conductor |
29602 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
12240 |
Modular degree for the optimal curve |
Δ |
-3781833112 = -1 · 23 · 193 · 413 |
Discriminant |
Eigenvalues |
2+ 0 2 0 1 0 2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-476,-4856] |
[a1,a2,a3,a4,a6] |
Generators |
[705:-286:27] |
Generators of the group modulo torsion |
j |
-1740992427/551368 |
j-invariant |
L |
4.4167040765289 |
L(r)(E,1)/r! |
Ω |
0.50287158332093 |
Real period |
R |
4.3914830575246 |
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 |
29602c1 |
Quadratic twists by: -19 |