Atkin-Lehner |
2+ 5- 19+ 47- |
Signs for the Atkin-Lehner involutions |
Class |
8930d |
Isogeny class |
Conductor |
8930 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
166400 |
Modular degree for the optimal curve |
Δ |
-2474511000457011200 = -1 · 213 · 52 · 195 · 474 |
Discriminant |
Eigenvalues |
2+ -1 5- -1 -4 5 5 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-567977,-181545851] |
[a1,a2,a3,a4,a6] |
Generators |
[1223:30291:1] |
Generators of the group modulo torsion |
j |
-20263625725690391655961/2474511000457011200 |
j-invariant |
L |
2.5748479441594 |
L(r)(E,1)/r! |
Ω |
0.086362564702611 |
Real period |
R |
3.7267998481546 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
71440m1 80370bi1 44650l1 |
Quadratic twists by: -4 -3 5 |