Atkin-Lehner |
2- 3- 5+ 7- |
Signs for the Atkin-Lehner involutions |
Class |
17640ci |
Isogeny class |
Conductor |
17640 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
6144 |
Modular degree for the optimal curve |
Δ |
-180033840 = -1 · 24 · 38 · 5 · 73 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7- -4 -6 -6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,42,637] |
[a1,a2,a3,a4,a6] |
Generators |
[-6:13:1] [2:27:1] |
Generators of the group modulo torsion |
j |
2048/45 |
j-invariant |
L |
6.6166839244753 |
L(r)(E,1)/r! |
Ω |
1.3485191442218 |
Real period |
R |
1.2266573954153 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999998 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
35280bq1 5880q1 88200cw1 17640ct1 |
Quadratic twists by: -4 -3 5 -7 |