Atkin-Lehner |
2+ 3+ 7+ 71- |
Signs for the Atkin-Lehner involutions |
Class |
71568d |
Isogeny class |
Conductor |
71568 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
16896 |
Modular degree for the optimal curve |
Δ |
-168327936 = -1 · 28 · 33 · 73 · 71 |
Discriminant |
Eigenvalues |
2+ 3+ 1 7+ -1 -1 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-87,-698] |
[a1,a2,a3,a4,a6] |
j |
-10536048/24353 |
j-invariant |
L |
2.921301550106 |
L(r)(E,1)/r! |
Ω |
0.7303253888458 |
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 |
35784p1 71568a1 |
Quadratic twists by: -4 -3 |