Atkin-Lehner |
2+ 3+ 5- 11+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
44880d |
Isogeny class |
Conductor |
44880 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
18432 |
Modular degree for the optimal curve |
Δ |
244147200 = 210 · 3 · 52 · 11 · 172 |
Discriminant |
Eigenvalues |
2+ 3+ 5- -2 11+ -4 17+ -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-320,-1968] |
[a1,a2,a3,a4,a6] |
Generators |
[-11:10:1] [-8:4:1] |
Generators of the group modulo torsion |
j |
3550014724/238425 |
j-invariant |
L |
8.0798674928353 |
L(r)(E,1)/r! |
Ω |
1.1332576212939 |
Real period |
R |
1.7824427872829 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
22440m1 |
Quadratic twists by: -4 |