Atkin-Lehner |
2+ 3+ 7+ 47- |
Signs for the Atkin-Lehner involutions |
Class |
31584b |
Isogeny class |
Conductor |
31584 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
11520 |
Modular degree for the optimal curve |
Δ |
-327462912 = -1 · 212 · 35 · 7 · 47 |
Discriminant |
Eigenvalues |
2+ 3+ 0 7+ -5 -2 7 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-173,-1179] |
[a1,a2,a3,a4,a6] |
j |
-140608000/79947 |
j-invariant |
L |
1.2820619519434 |
L(r)(E,1)/r! |
Ω |
0.64103097597313 |
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 |
31584m1 63168dc1 94752y1 |
Quadratic twists by: -4 8 -3 |