Atkin-Lehner |
2- 3+ 5+ 13+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
33930s |
Isogeny class |
Conductor |
33930 |
Conductor |
∏ cp |
44 |
Product of Tamagawa factors cp |
deg |
15488 |
Modular degree for the optimal curve |
Δ |
-521164800 = -1 · 211 · 33 · 52 · 13 · 29 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 2 -5 13+ 3 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,172,-713] |
[a1,a2,a3,a4,a6] |
Generators |
[13:-67:1] |
Generators of the group modulo torsion |
j |
20956092093/19302400 |
j-invariant |
L |
8.3358632048858 |
L(r)(E,1)/r! |
Ω |
0.90312270989544 |
Real period |
R |
0.20977374879278 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
33930c1 |
Quadratic twists by: -3 |