Atkin-Lehner |
2- 3- 13- 71- |
Signs for the Atkin-Lehner involutions |
Class |
16614x |
Isogeny class |
Conductor |
16614 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
33792 |
Modular degree for the optimal curve |
Δ |
-12396422526696 = -1 · 23 · 317 · 132 · 71 |
Discriminant |
Eigenvalues |
2- 3- -3 1 -3 13- 2 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,1876,-166953] |
[a1,a2,a3,a4,a6] |
Generators |
[167:2103:1] |
Generators of the group modulo torsion |
j |
1002101470343/17004694824 |
j-invariant |
L |
6.1223874606127 |
L(r)(E,1)/r! |
Ω |
0.34721892165086 |
Real period |
R |
0.73469347900931 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
5538e1 |
Quadratic twists by: -3 |