Atkin-Lehner |
2- 3- 5- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
27600dd |
Isogeny class |
Conductor |
27600 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
5120 |
Modular degree for the optimal curve |
Δ |
35328000 = 212 · 3 · 53 · 23 |
Discriminant |
Eigenvalues |
2- 3- 5- 0 0 4 0 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-88,-172] |
[a1,a2,a3,a4,a6] |
j |
148877/69 |
j-invariant |
L |
3.2563368642858 |
L(r)(E,1)/r! |
Ω |
1.6281684321427 |
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 |
1725k1 110400gv1 82800fn1 27600ca1 |
Quadratic twists by: -4 8 -3 5 |