Atkin-Lehner |
2+ 5+ 7+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
40600a |
Isogeny class |
Conductor |
40600 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
54589136000000 = 210 · 56 · 76 · 29 |
Discriminant |
Eigenvalues |
2+ 2 5+ 7+ 0 -2 0 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-12608,417212] |
[a1,a2,a3,a4,a6] |
Generators |
[442:9000:1] |
Generators of the group modulo torsion |
j |
13854050788/3411821 |
j-invariant |
L |
8.268677677462 |
L(r)(E,1)/r! |
Ω |
0.59037056160191 |
Real period |
R |
3.5014778070158 |
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 |
81200l2 1624d2 |
Quadratic twists by: -4 5 |