Atkin-Lehner |
2+ 17- 41+ |
Signs for the Atkin-Lehner involutions |
Class |
44608o |
Isogeny class |
Conductor |
44608 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
9472 |
Modular degree for the optimal curve |
Δ |
-22839296 = -1 · 215 · 17 · 41 |
Discriminant |
Eigenvalues |
2+ -1 1 2 3 -5 17- 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-225,-1247] |
[a1,a2,a3,a4,a6] |
j |
-38614472/697 |
j-invariant |
L |
2.4618303803256 |
L(r)(E,1)/r! |
Ω |
0.61545759507803 |
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 |
44608l1 22304a1 |
Quadratic twists by: -4 8 |