Atkin-Lehner |
2- 3- 5+ 7- |
Signs for the Atkin-Lehner involutions |
Class |
17640ci |
Isogeny class |
Conductor |
17640 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
4800902400 = 28 · 37 · 52 · 73 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7- -4 -6 -6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-903,9898] |
[a1,a2,a3,a4,a6] |
Generators |
[119:-1260:1] [-31:90:1] |
Generators of the group modulo torsion |
j |
1272112/75 |
j-invariant |
L |
6.6166839244753 |
L(r)(E,1)/r! |
Ω |
1.3485191442218 |
Real period |
R |
0.30666434885383 |
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 |
35280bq2 5880q2 88200cw2 17640ct2 |
Quadratic twists by: -4 -3 5 -7 |