Atkin-Lehner |
2- 5+ 7+ 37+ |
Signs for the Atkin-Lehner involutions |
Class |
5180a |
Isogeny class |
Conductor |
5180 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
8640 |
Modular degree for the optimal curve |
Δ |
-736281056000 = -1 · 28 · 53 · 75 · 372 |
Discriminant |
Eigenvalues |
2- 1 5+ 7+ -1 5 3 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-10221,396479] |
[a1,a2,a3,a4,a6] |
j |
-461324374319104/2876097875 |
j-invariant |
L |
1.8114722848644 |
L(r)(E,1)/r! |
Ω |
0.90573614243218 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
20720j1 82880n1 46620u1 25900d1 |
Quadratic twists by: -4 8 -3 5 |