Atkin-Lehner |
2- 7- 11+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
56672y |
Isogeny class |
Conductor |
56672 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
849498771968 = 29 · 72 · 112 · 234 |
Discriminant |
Eigenvalues |
2- 0 2 7- 11+ -2 -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-63419,-6147038] |
[a1,a2,a3,a4,a6] |
Generators |
[35182186:-2516632860:6859] |
Generators of the group modulo torsion |
j |
55094966119236744/1659177289 |
j-invariant |
L |
6.2282000722048 |
L(r)(E,1)/r! |
Ω |
0.30084686620218 |
Real period |
R |
10.351113426363 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000000025 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
56672w4 113344ee4 |
Quadratic twists by: -4 8 |