Atkin-Lehner |
5+ 7- 13+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
54145k |
Isogeny class |
Conductor |
54145 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
-1271413259222640625 = -1 · 56 · 78 · 132 · 174 |
Discriminant |
Eigenvalues |
1 2 5+ 7- -2 13+ 17- 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-466603,133944378] |
[a1,a2,a3,a4,a6] |
Generators |
[22170:931038:125] |
Generators of the group modulo torsion |
j |
-95494752302662441/10806834390625 |
j-invariant |
L |
9.000575343938 |
L(r)(E,1)/r! |
Ω |
0.26477340150188 |
Real period |
R |
4.2491878399006 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000012 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
7735d2 |
Quadratic twists by: -7 |