Atkin-Lehner |
2- 3+ 5+ 7+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
36540a |
Isogeny class |
Conductor |
36540 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
556416 |
Modular degree for the optimal curve |
Δ |
-470447713260000000 = -1 · 28 · 39 · 57 · 72 · 293 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7+ 1 -6 8 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-64368,-33593292] |
[a1,a2,a3,a4,a6] |
j |
-5853323132928/93364140625 |
j-invariant |
L |
2.0303920144003 |
L(r)(E,1)/r! |
Ω |
0.1268995008993 |
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 |
36540b1 |
Quadratic twists by: -3 |