Atkin-Lehner |
2+ 3+ 7+ 11- 23- |
Signs for the Atkin-Lehner involutions |
Class |
85008i |
Isogeny class |
Conductor |
85008 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
3574514313216 = 211 · 34 · 7 · 11 · 234 |
Discriminant |
Eigenvalues |
2+ 3+ 2 7+ 11- -2 2 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-4872,95760] |
[a1,a2,a3,a4,a6] |
Generators |
[80:460:1] |
Generators of the group modulo torsion |
j |
6246039646226/1745368317 |
j-invariant |
L |
5.7565755451155 |
L(r)(E,1)/r! |
Ω |
0.73580589149492 |
Real period |
R |
0.97793718617285 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000577 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
42504g4 |
Quadratic twists by: -4 |