Atkin-Lehner |
2+ 5- 13- 73+ |
Signs for the Atkin-Lehner involutions |
Class |
75920g |
Isogeny class |
Conductor |
75920 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
184320 |
Modular degree for the optimal curve |
Δ |
113773716858880 = 211 · 5 · 134 · 733 |
Discriminant |
Eigenvalues |
2+ 1 5- 3 -5 13- 2 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-12160,51028] |
[a1,a2,a3,a4,a6] |
Generators |
[-12:442:1] |
Generators of the group modulo torsion |
j |
97102452545282/55553572685 |
j-invariant |
L |
8.7210265432557 |
L(r)(E,1)/r! |
Ω |
0.50684132501945 |
Real period |
R |
2.1508276141233 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.00000000007 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
37960g1 |
Quadratic twists by: -4 |