Atkin-Lehner |
2+ 3- 7- 13+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
37128m |
Isogeny class |
Conductor |
37128 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
93312 |
Modular degree for the optimal curve |
Δ |
-236126951424 = -1 · 211 · 32 · 73 · 133 · 17 |
Discriminant |
Eigenvalues |
2+ 3- 3 7- 4 13+ 17- 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-24344,1454064] |
[a1,a2,a3,a4,a6] |
j |
-779089619053874/115296363 |
j-invariant |
L |
5.7397441230429 |
L(r)(E,1)/r! |
Ω |
0.95662402050886 |
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 |
74256e1 111384ce1 |
Quadratic twists by: -4 -3 |