Atkin-Lehner |
2- 3+ 5+ 7+ |
Signs for the Atkin-Lehner involutions |
Class |
33600ec |
Isogeny class |
Conductor |
33600 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
49152 |
Modular degree for the optimal curve |
Δ |
1148175000000 = 26 · 38 · 58 · 7 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7+ 0 2 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-6508,-193238] |
[a1,a2,a3,a4,a6] |
j |
30488290624/1148175 |
j-invariant |
L |
2.1310698643004 |
L(r)(E,1)/r! |
Ω |
0.53276746607776 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
33600gj1 16800n2 100800kz1 6720ck1 |
Quadratic twists by: -4 8 -3 5 |