Atkin-Lehner |
2+ 3- 7+ 11- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
85008q |
Isogeny class |
Conductor |
85008 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
7226360064 = 28 · 32 · 72 · 112 · 232 |
Discriminant |
Eigenvalues |
2+ 3- -2 7+ 11- -6 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-484,-484] |
[a1,a2,a3,a4,a6] |
Generators |
[26:72:1] |
Generators of the group modulo torsion |
j |
49081386832/28227969 |
j-invariant |
L |
5.1759914521846 |
L(r)(E,1)/r! |
Ω |
1.106718046595 |
Real period |
R |
2.338441784125 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000010391 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
42504q2 |
Quadratic twists by: -4 |