Atkin-Lehner |
2- 3- 11+ 13- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
116688x |
Isogeny class |
Conductor |
116688 |
Conductor |
∏ cp |
256 |
Product of Tamagawa factors cp |
Δ |
-153735887992946688 = -1 · 215 · 38 · 114 · 132 · 172 |
Discriminant |
Eigenvalues |
2- 3- 0 -2 11+ 13- 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,59832,18023796] |
[a1,a2,a3,a4,a6] |
Generators |
[174:-5808:1] [-114:3120:1] |
Generators of the group modulo torsion |
j |
5783051584712375/37533175779528 |
j-invariant |
L |
13.6265392159 |
L(r)(E,1)/r! |
Ω |
0.23548576111537 |
Real period |
R |
0.9041509527317 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.9999999999118 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
14586b2 |
Quadratic twists by: -4 |