Atkin-Lehner |
2- 3+ 5- 71+ |
Signs for the Atkin-Lehner involutions |
Class |
68160co |
Isogeny class |
Conductor |
68160 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
39644037120 = 219 · 3 · 5 · 712 |
Discriminant |
Eigenvalues |
2- 3+ 5- 4 -6 6 -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-10145,-389823] |
[a1,a2,a3,a4,a6] |
Generators |
[672:17199:1] |
Generators of the group modulo torsion |
j |
440537367529/151230 |
j-invariant |
L |
6.27251020659 |
L(r)(E,1)/r! |
Ω |
0.47570960648937 |
Real period |
R |
6.5927932930861 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000559 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
68160bt2 17040v2 |
Quadratic twists by: -4 8 |