Atkin-Lehner |
2+ 3- 5- 11- 103- |
Signs for the Atkin-Lehner involutions |
Class |
33990s |
Isogeny class |
Conductor |
33990 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
12288 |
Modular degree for the optimal curve |
Δ |
-4588650 = -1 · 2 · 34 · 52 · 11 · 103 |
Discriminant |
Eigenvalues |
2+ 3- 5- -5 11- -3 -2 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,37,56] |
[a1,a2,a3,a4,a6] |
Generators |
[0:7:1] |
Generators of the group modulo torsion |
j |
5822285399/4588650 |
j-invariant |
L |
4.0125310400084 |
L(r)(E,1)/r! |
Ω |
1.5729237077973 |
Real period |
R |
0.31887521150245 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999999999 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
101970bu1 |
Quadratic twists by: -3 |