Atkin-Lehner |
2- 3+ 5+ 73+ |
Signs for the Atkin-Lehner involutions |
Class |
8760b |
Isogeny class |
Conductor |
8760 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
5376 |
Modular degree for the optimal curve |
Δ |
1362355200 = 210 · 36 · 52 · 73 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 4 4 -4 -4 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-536,-4260] |
[a1,a2,a3,a4,a6] |
j |
16662038116/1330425 |
j-invariant |
L |
1.9941850239187 |
L(r)(E,1)/r! |
Ω |
0.99709251195934 |
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 |
17520e1 70080z1 26280d1 43800r1 |
Quadratic twists by: -4 8 -3 5 |