Atkin-Lehner |
2- 5+ 103+ |
Signs for the Atkin-Lehner involutions |
Class |
32960o |
Isogeny class |
Conductor |
32960 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
23040 |
Modular degree for the optimal curve |
Δ |
-843776000 = -1 · 216 · 53 · 103 |
Discriminant |
Eigenvalues |
2- 3 5+ -4 2 2 -6 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-268,2192] |
[a1,a2,a3,a4,a6] |
j |
-32482404/12875 |
j-invariant |
L |
2.9740383384023 |
L(r)(E,1)/r! |
Ω |
1.4870191692018 |
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 |
32960e1 8240d1 |
Quadratic twists by: -4 8 |