Atkin-Lehner |
2- 13- |
Signs for the Atkin-Lehner involutions |
Class |
10816bo |
Isogeny class |
Conductor |
10816 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
59904 |
Modular degree for the optimal curve |
Δ |
-22239247069085696 = -1 · 221 · 139 |
Discriminant |
Eigenvalues |
2- -1 -3 -3 0 13- -3 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,32223,6810049] |
[a1,a2,a3,a4,a6] |
Generators |
[-56:2197:1] |
Generators of the group modulo torsion |
j |
1331/8 |
j-invariant |
L |
2.035981565333 |
L(r)(E,1)/r! |
Ω |
0.27596250824439 |
Real period |
R |
1.8444367482067 |
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 |
10816t1 2704m1 97344gn1 10816bn1 |
Quadratic twists by: -4 8 -3 13 |