Atkin-Lehner |
2+ 3+ 5+ 71+ |
Signs for the Atkin-Lehner involutions |
Class |
85200a |
Isogeny class |
Conductor |
85200 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
2177712000000 = 210 · 33 · 56 · 712 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 2 4 -2 -4 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-13808,-615888] |
[a1,a2,a3,a4,a6] |
Generators |
[17546:820325:8] |
Generators of the group modulo torsion |
j |
18198161572/136107 |
j-invariant |
L |
6.6094831933547 |
L(r)(E,1)/r! |
Ω |
0.44061579136185 |
Real period |
R |
7.5002795270372 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999922438 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
42600bf2 3408c2 |
Quadratic twists by: -4 5 |