Atkin-Lehner |
2- 7- 17- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
48314s |
Isogeny class |
Conductor |
48314 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
153216 |
Modular degree for the optimal curve |
Δ |
-32308389079624 = -1 · 23 · 710 · 17 · 292 |
Discriminant |
Eigenvalues |
2- 0 3 7- 0 6 17- 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-1651,-274277] |
[a1,a2,a3,a4,a6] |
j |
-1760913/114376 |
j-invariant |
L |
6.9438719465269 |
L(r)(E,1)/r! |
Ω |
0.28932799779015 |
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 |
48314n1 |
Quadratic twists by: -7 |