Atkin-Lehner |
2- 3+ 5- 7+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
57960bi |
Isogeny class |
Conductor |
57960 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
537600 |
Modular degree for the optimal curve |
Δ |
223999543998720 = 28 · 39 · 5 · 75 · 232 |
Discriminant |
Eigenvalues |
2- 3+ 5- 7+ -6 2 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-755487,-252747486] |
[a1,a2,a3,a4,a6] |
Generators |
[-12258039:-256230:24389] |
Generators of the group modulo torsion |
j |
9463971881004912/44454515 |
j-invariant |
L |
5.2658841651069 |
L(r)(E,1)/r! |
Ω |
0.16193582126536 |
Real period |
R |
8.1295851098027 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999998038 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
115920n1 57960a1 |
Quadratic twists by: -4 -3 |