Atkin-Lehner |
5+ 47- |
Signs for the Atkin-Lehner involutions |
Class |
11045b |
Isogeny class |
Conductor |
11045 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
1786752 |
Modular degree for the optimal curve |
Δ |
1.0273268014811E+23 |
Discriminant |
Eigenvalues |
-1 2 5+ -2 -3 -6 -6 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-78176556,265569914744] |
[a1,a2,a3,a4,a6] |
j |
1004557349281/1953125 |
j-invariant |
L |
0.10626736246991 |
L(r)(E,1)/r! |
Ω |
0.10626736246991 |
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 |
99405o1 55225d1 11045d1 |
Quadratic twists by: -3 5 -47 |