Atkin-Lehner |
2- 3+ 17- 29- |
Signs for the Atkin-Lehner involutions |
Class |
47328s |
Isogeny class |
Conductor |
47328 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
184320 |
Modular degree for the optimal curve |
Δ |
-840279340560384 = -1 · 212 · 315 · 17 · 292 |
Discriminant |
Eigenvalues |
2- 3+ -1 4 3 -1 17- 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-22781,-1915083] |
[a1,a2,a3,a4,a6] |
j |
-319228149251584/205146323379 |
j-invariant |
L |
3.0213412271029 |
L(r)(E,1)/r! |
Ω |
0.18883382667713 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
47328n1 94656w1 |
Quadratic twists by: -4 8 |