Atkin-Lehner |
2+ 3+ 5- 13+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
116610r |
Isogeny class |
Conductor |
116610 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
8225280 |
Modular degree for the optimal curve |
Δ |
-4.7099265510776E+19 |
Discriminant |
Eigenvalues |
2+ 3+ 5- -5 5 13+ 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-1910717,1068066381] |
[a1,a2,a3,a4,a6] |
j |
-159828070411428769/9757847370960 |
j-invariant |
L |
1.5880808691757 |
L(r)(E,1)/r! |
Ω |
0.19851012338866 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
8970j1 |
Quadratic twists by: 13 |