Atkin-Lehner |
3- 5+ 7- 13- |
Signs for the Atkin-Lehner involutions |
Class |
17745r |
Isogeny class |
Conductor |
17745 |
Conductor |
∏ cp |
160 |
Product of Tamagawa factors cp |
Δ |
1.8271341489559E+22 |
Discriminant |
Eigenvalues |
-1 3- 5+ 7- 0 13- 8 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-197396651,-1067471813994] |
[a1,a2,a3,a4,a6] |
j |
80214500261567905813/1722980109375 |
j-invariant |
L |
1.6111098789656 |
L(r)(E,1)/r! |
Ω |
0.04027774697414 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
53235bp2 88725l2 124215bo2 17745u2 |
Quadratic twists by: -3 5 -7 13 |