Atkin-Lehner |
2- 5- 13- 59+ |
Signs for the Atkin-Lehner involutions |
Class |
38350bb |
Isogeny class |
Conductor |
38350 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
17280 |
Modular degree for the optimal curve |
Δ |
-2996093750 = -1 · 2 · 59 · 13 · 59 |
Discriminant |
Eigenvalues |
2- 1 5- 0 -2 13- 4 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-513,-5233] |
[a1,a2,a3,a4,a6] |
j |
-7645373/1534 |
j-invariant |
L |
3.9697008753658 |
L(r)(E,1)/r! |
Ω |
0.49621260941967 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
38350j1 |
Quadratic twists by: 5 |