Atkin-Lehner |
2+ 3+ 7+ 11- 23- |
Signs for the Atkin-Lehner involutions |
Class |
85008h |
Isogeny class |
Conductor |
85008 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
65037240576 = 28 · 34 · 72 · 112 · 232 |
Discriminant |
Eigenvalues |
2+ 3+ 2 7+ 11- 2 -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-21252,1199520] |
[a1,a2,a3,a4,a6] |
Generators |
[-91:1540:1] |
Generators of the group modulo torsion |
j |
4146709424945488/254051721 |
j-invariant |
L |
6.4566122029246 |
L(r)(E,1)/r! |
Ω |
1.0451699113441 |
Real period |
R |
3.0887859151871 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000001008 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
42504y2 |
Quadratic twists by: -4 |