Atkin-Lehner |
2- 3- 5+ 11- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
67320bf |
Isogeny class |
Conductor |
67320 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
277760751713280 = 210 · 310 · 5 · 11 · 174 |
Discriminant |
Eigenvalues |
2- 3- 5+ -4 11- -2 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-18363,-523802] |
[a1,a2,a3,a4,a6] |
Generators |
[-69:644:1] [-37:324:1] |
Generators of the group modulo torsion |
j |
917333238244/372086055 |
j-invariant |
L |
8.8132934648145 |
L(r)(E,1)/r! |
Ω |
0.42488311356112 |
Real period |
R |
5.1857164850606 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999359 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
22440k4 |
Quadratic twists by: -3 |