Atkin-Lehner |
2+ 5+ 7- |
Signs for the Atkin-Lehner involutions |
Class |
15680bc |
Isogeny class |
Conductor |
15680 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
506880 |
Modular degree for the optimal curve |
Δ |
-6179146071875000000 = -1 · 26 · 511 · 711 |
Discriminant |
Eigenvalues |
2+ -3 5+ 7- 1 -1 3 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,366422,83755798] |
[a1,a2,a3,a4,a6] |
j |
722603599520256/820654296875 |
j-invariant |
L |
0.31776588267516 |
L(r)(E,1)/r! |
Ω |
0.15888294133758 |
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 |
15680y1 7840z1 78400db1 2240i1 |
Quadratic twists by: -4 8 5 -7 |