Atkin-Lehner |
2+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
10816i |
Isogeny class |
Conductor |
10816 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
-8421963387109376 = -1 · 227 · 137 |
Discriminant |
Eigenvalues |
2+ -1 -3 1 6 13+ -3 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-4970177,-4263216959] |
[a1,a2,a3,a4,a6] |
Generators |
[345495:6967532:125] |
Generators of the group modulo torsion |
j |
-10730978619193/6656 |
j-invariant |
L |
3.0844300450575 |
L(r)(E,1)/r! |
Ω |
0.050556450107995 |
Real period |
R |
7.6262030820715 |
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 |
10816bf3 338c3 97344cl3 832c3 |
Quadratic twists by: -4 8 -3 13 |