Atkin-Lehner |
2- 5- 11+ |
Signs for the Atkin-Lehner involutions |
Class |
38720cy |
Isogeny class |
Conductor |
38720 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
9216 |
Modular degree for the optimal curve |
Δ |
-109035520 = -1 · 214 · 5 · 113 |
Discriminant |
Eigenvalues |
2- -2 5- 0 11+ -2 -6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,15,-497] |
[a1,a2,a3,a4,a6] |
Generators |
[18:77:1] |
Generators of the group modulo torsion |
j |
16/5 |
j-invariant |
L |
3.4711512522061 |
L(r)(E,1)/r! |
Ω |
0.88188591173354 |
Real period |
R |
1.9680273865481 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000003 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
38720ba1 9680c1 38720cx1 |
Quadratic twists by: -4 8 -11 |