Atkin-Lehner |
2- 3+ 5- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
37440di |
Isogeny class |
Conductor |
37440 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
6912 |
Modular degree for the optimal curve |
Δ |
-18982080 = -1 · 26 · 33 · 5 · 133 |
Discriminant |
Eigenvalues |
2- 3+ 5- 1 3 13+ 3 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,48,166] |
[a1,a2,a3,a4,a6] |
Generators |
[11:45:1] |
Generators of the group modulo torsion |
j |
7077888/10985 |
j-invariant |
L |
6.6454295573205 |
L(r)(E,1)/r! |
Ω |
1.4789871123285 |
Real period |
R |
2.2466150995926 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
37440q1 9360ba1 37440cy2 |
Quadratic twists by: -4 8 -3 |