Atkin-Lehner |
2+ 3+ 5+ 7- 11+ |
Signs for the Atkin-Lehner involutions |
Class |
80850n |
Isogeny class |
Conductor |
80850 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
-5.7475600790405E+21 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 7- 11+ 4 -4 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-5788150,6480891250] |
[a1,a2,a3,a4,a6] |
Generators |
[-1975:102050:1] [1065:-39595:1] |
Generators of the group modulo torsion |
j |
-11666347147400401/3126621093750 |
j-invariant |
L |
7.143105439221 |
L(r)(E,1)/r! |
Ω |
0.12827911045212 |
Real period |
R |
6.9605111603876 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999995077 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
16170by2 11550t2 |
Quadratic twists by: 5 -7 |