Atkin-Lehner |
2+ 3+ 5- 11- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
76560g |
Isogeny class |
Conductor |
76560 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
5861433600 = 28 · 32 · 52 · 112 · 292 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 0 11- 2 6 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-500,2400] |
[a1,a2,a3,a4,a6] |
Generators |
[25:70:1] |
Generators of the group modulo torsion |
j |
54108072016/22896225 |
j-invariant |
L |
6.402236209832 |
L(r)(E,1)/r! |
Ω |
1.2175691887005 |
Real period |
R |
2.6291057082571 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000002204 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
38280s2 |
Quadratic twists by: -4 |