Atkin-Lehner |
2- 3- 7+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
3654s |
Isogeny class |
Conductor |
3654 |
Conductor |
∏ cp |
28 |
Product of Tamagawa factors cp |
deg |
24640 |
Modular degree for the optimal curve |
Δ |
-8056742766936192 = -1 · 27 · 317 · 75 · 29 |
Discriminant |
Eigenvalues |
2- 3- 2 7+ -1 -5 -2 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,9886,-4304415] |
[a1,a2,a3,a4,a6] |
Generators |
[425:8535:1] |
Generators of the group modulo torsion |
j |
146588258764583/11051773342848 |
j-invariant |
L |
5.383624314714 |
L(r)(E,1)/r! |
Ω |
0.19761118405018 |
Real period |
R |
0.97298286976131 |
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 |
29232bl1 116928bp1 1218a1 91350bs1 |
Quadratic twists by: -4 8 -3 5 |