Atkin-Lehner |
2+ 3- 5+ 7- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
85680bg |
Isogeny class |
Conductor |
85680 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
97533538572960000 = 28 · 316 · 54 · 72 · 172 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7- -4 -2 17+ 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-8675103,-9834664898] |
[a1,a2,a3,a4,a6] |
Generators |
[418555766:35191845234:50653] |
Generators of the group modulo torsion |
j |
386883437712133521616/522620555625 |
j-invariant |
L |
5.0518887065407 |
L(r)(E,1)/r! |
Ω |
0.087969258220682 |
Real period |
R |
14.356972007625 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999907309 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
42840bn2 28560bz2 |
Quadratic twists by: -4 -3 |