Atkin-Lehner |
2+ 3- 5- 11+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
44880q |
Isogeny class |
Conductor |
44880 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
12288 |
Modular degree for the optimal curve |
Δ |
-146488320 = -1 · 210 · 32 · 5 · 11 · 172 |
Discriminant |
Eigenvalues |
2+ 3- 5- 0 11+ 2 17+ -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,120,-252] |
[a1,a2,a3,a4,a6] |
Generators |
[3:12:1] |
Generators of the group modulo torsion |
j |
185073116/143055 |
j-invariant |
L |
8.0147026915511 |
L(r)(E,1)/r! |
Ω |
1.0215729009109 |
Real period |
R |
1.9613633751442 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000007 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
22440r1 |
Quadratic twists by: -4 |