Atkin-Lehner |
2+ 3- 5- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
89280cb |
Isogeny class |
Conductor |
89280 |
Conductor |
∏ cp |
5 |
Product of Tamagawa factors cp |
deg |
752640 |
Modular degree for the optimal curve |
Δ |
-1111943116800000 = -1 · 214 · 36 · 55 · 313 |
Discriminant |
Eigenvalues |
2+ 3- 5- 2 -2 2 1 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1384272,626876064] |
[a1,a2,a3,a4,a6] |
Generators |
[793:5275:1] |
Generators of the group modulo torsion |
j |
-24560689104608256/93096875 |
j-invariant |
L |
8.0663424512278 |
L(r)(E,1)/r! |
Ω |
0.42954572438076 |
Real period |
R |
3.7557549751823 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999927738 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
89280fv1 11160l1 9920e1 |
Quadratic twists by: -4 8 -3 |