Atkin-Lehner |
2+ 5+ 7+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
40600a |
Isogeny class |
Conductor |
40600 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
61440 |
Modular degree for the optimal curve |
Δ |
-1153852000000 = -1 · 28 · 56 · 73 · 292 |
Discriminant |
Eigenvalues |
2+ 2 5+ 7+ 0 -2 0 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,1892,40212] |
[a1,a2,a3,a4,a6] |
Generators |
[76878:863000:729] |
Generators of the group modulo torsion |
j |
187153328/288463 |
j-invariant |
L |
8.268677677462 |
L(r)(E,1)/r! |
Ω |
0.59037056160191 |
Real period |
R |
7.0029556140316 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000005 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
81200l1 1624d1 |
Quadratic twists by: -4 5 |