Atkin-Lehner |
2+ 7- 89+ |
Signs for the Atkin-Lehner involutions |
Class |
19936b |
Isogeny class |
Conductor |
19936 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
3584 |
Modular degree for the optimal curve |
Δ |
-17862656 = -1 · 212 · 72 · 89 |
Discriminant |
Eigenvalues |
2+ 1 -3 7- -2 -4 -3 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,63,-49] |
[a1,a2,a3,a4,a6] |
Generators |
[7:28:1] [10:41:1] |
Generators of the group modulo torsion |
j |
6644672/4361 |
j-invariant |
L |
7.2907160657506 |
L(r)(E,1)/r! |
Ω |
1.2455976001605 |
Real period |
R |
0.73164841366219 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999999 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
19936f1 39872n1 |
Quadratic twists by: -4 8 |