Atkin-Lehner |
2+ 3+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
2088b |
Isogeny class |
Conductor |
2088 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
224 |
Modular degree for the optimal curve |
Δ |
-801792 = -1 · 210 · 33 · 29 |
Discriminant |
Eigenvalues |
2+ 3+ 2 -4 0 2 6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,21,22] |
[a1,a2,a3,a4,a6] |
j |
37044/29 |
j-invariant |
L |
1.8175760509763 |
L(r)(E,1)/r! |
Ω |
1.8175760509763 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
4176d1 16704d1 2088h1 52200bo1 |
Quadratic twists by: -4 8 -3 5 |