Atkin-Lehner |
2- 3+ 5+ |
Signs for the Atkin-Lehner involutions |
Class |
3600ba |
Isogeny class |
Conductor |
3600 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
4608 |
Modular degree for the optimal curve |
Δ |
-864000000000 = -1 · 214 · 33 · 59 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 2 -6 4 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,2325,-11750] |
[a1,a2,a3,a4,a6] |
j |
804357/500 |
j-invariant |
L |
2.0506642572734 |
L(r)(E,1)/r! |
Ω |
0.51266606431835 |
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 |
450e1 14400cx1 3600z3 720g1 |
Quadratic twists by: -4 8 -3 5 |