Atkin-Lehner |
3+ 7+ 13+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
81627c |
Isogeny class |
Conductor |
81627 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
161280 |
Modular degree for the optimal curve |
Δ |
-31913832997683 = -1 · 35 · 7 · 138 · 23 |
Discriminant |
Eigenvalues |
0 3+ -2 7+ -3 13+ -4 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,2141,-269826] |
[a1,a2,a3,a4,a6] |
Generators |
[516:11745:1] |
Generators of the group modulo torsion |
j |
224755712/6611787 |
j-invariant |
L |
2.3859726731852 |
L(r)(E,1)/r! |
Ω |
0.317640059864 |
Real period |
R |
3.7557804771265 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.00000000084 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
6279c1 |
Quadratic twists by: 13 |