Atkin-Lehner |
2- 3- 7+ 11- 23- |
Signs for the Atkin-Lehner involutions |
Class |
85008cd |
Isogeny class |
Conductor |
85008 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
15395288832 = 28 · 32 · 74 · 112 · 23 |
Discriminant |
Eigenvalues |
2- 3- -2 7+ 11- -6 -8 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-924,8712] |
[a1,a2,a3,a4,a6] |
Generators |
[-33:66:1] |
Generators of the group modulo torsion |
j |
341169022672/60137847 |
j-invariant |
L |
5.1448206738352 |
L(r)(E,1)/r! |
Ω |
1.1847186602073 |
Real period |
R |
2.1713259209402 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000003841 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
21252d2 |
Quadratic twists by: -4 |