Atkin-Lehner |
2+ 3- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
3648k |
Isogeny class |
Conductor |
3648 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
1536 |
Modular degree for the optimal curve |
Δ |
-1011400704 = -1 · 214 · 32 · 193 |
Discriminant |
Eigenvalues |
2+ 3- -1 -3 5 2 -1 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,219,963] |
[a1,a2,a3,a4,a6] |
j |
70575104/61731 |
j-invariant |
L |
2.0299015927008 |
L(r)(E,1)/r! |
Ω |
1.0149507963504 |
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 |
3648ba1 456d1 10944p1 91200j1 |
Quadratic twists by: -4 8 -3 5 |