Atkin-Lehner |
2+ 13+ 53+ |
Signs for the Atkin-Lehner involutions |
Class |
44096b |
Isogeny class |
Conductor |
44096 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
11264 |
Modular degree for the optimal curve |
Δ |
37393408 = 210 · 13 · 532 |
Discriminant |
Eigenvalues |
2+ 0 4 4 0 13+ -2 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-88,-120] |
[a1,a2,a3,a4,a6] |
Generators |
[-195:459:125] |
Generators of the group modulo torsion |
j |
73598976/36517 |
j-invariant |
L |
8.9077809680761 |
L(r)(E,1)/r! |
Ω |
1.6404649108484 |
Real period |
R |
5.4300344427691 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000017 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
44096l1 5512c1 |
Quadratic twists by: -4 8 |