Atkin-Lehner |
2+ 3+ 5- |
Signs for the Atkin-Lehner involutions |
Class |
3600g |
Isogeny class |
Conductor |
3600 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
1536 |
Modular degree for the optimal curve |
Δ |
-629856000 = -1 · 28 · 39 · 53 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 4 4 4 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-135,1350] |
[a1,a2,a3,a4,a6] |
j |
-432 |
j-invariant |
L |
2.8773118551887 |
L(r)(E,1)/r! |
Ω |
1.4386559275944 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
1800e1 14400dj1 3600h1 3600i1 |
Quadratic twists by: -4 8 -3 5 |