Atkin-Lehner |
2- 3- 5+ 7- 37+ |
Signs for the Atkin-Lehner involutions |
Class |
15540h |
Isogeny class |
Conductor |
15540 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
7200 |
Modular degree for the optimal curve |
Δ |
-174048000 = -1 · 28 · 3 · 53 · 72 · 37 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7- -2 -7 6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,139,135] |
[a1,a2,a3,a4,a6] |
j |
1151860736/679875 |
j-invariant |
L |
2.198203485097 |
L(r)(E,1)/r! |
Ω |
1.0991017425485 |
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 |
62160bg1 46620x1 77700c1 108780q1 |
Quadratic twists by: -4 -3 5 -7 |