Atkin-Lehner |
2- 7- 29+ 37+ |
Signs for the Atkin-Lehner involutions |
Class |
60088h |
Isogeny class |
Conductor |
60088 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
27648 |
Modular degree for the optimal curve |
Δ |
32316768512 = 28 · 76 · 29 · 37 |
Discriminant |
Eigenvalues |
2- 0 0 7- 2 4 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-815,2322] |
[a1,a2,a3,a4,a6] |
Generators |
[-22:98:1] |
Generators of the group modulo torsion |
j |
233860338000/126237377 |
j-invariant |
L |
6.6711027312524 |
L(r)(E,1)/r! |
Ω |
1.0206381390083 |
Real period |
R |
1.0893679284816 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999998918 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
120176a1 |
Quadratic twists by: -4 |