Atkin-Lehner |
2+ 3+ 5+ 7+ 11+ |
Signs for the Atkin-Lehner involutions |
Class |
80850a |
Isogeny class |
Conductor |
80850 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
-9362493164062500 = -1 · 22 · 3 · 512 · 74 · 113 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 7+ 11+ 4 -3 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-67400,-8215500] |
[a1,a2,a3,a4,a6] |
Generators |
[1470:54690:1] |
Generators of the group modulo torsion |
j |
-902612375329/249562500 |
j-invariant |
L |
3.1768288190916 |
L(r)(E,1)/r! |
Ω |
0.14605139360874 |
Real period |
R |
5.4378611848715 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000005937 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
16170bv2 80850cd2 |
Quadratic twists by: 5 -7 |