Atkin-Lehner |
2- 5+ 67+ |
Signs for the Atkin-Lehner involutions |
Class |
44890h |
Isogeny class |
Conductor |
44890 |
Conductor |
∏ cp |
18 |
Product of Tamagawa factors cp |
deg |
29376 |
Modular degree for the optimal curve |
Δ |
-19248832000 = -1 · 29 · 53 · 673 |
Discriminant |
Eigenvalues |
2- 0 5+ -3 -3 0 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,632,2507] |
[a1,a2,a3,a4,a6] |
Generators |
[17:-143:1] [5:73:1] |
Generators of the group modulo torsion |
j |
92959677/64000 |
j-invariant |
L |
11.532961646327 |
L(r)(E,1)/r! |
Ω |
0.77047676612787 |
Real period |
R |
0.8315891142086 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
44890c1 |
Quadratic twists by: -67 |