Atkin-Lehner |
3+ 5+ 7- 13- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
129675m |
Isogeny class |
Conductor |
129675 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
94587781640625 = 34 · 58 · 72 · 132 · 192 |
Discriminant |
Eigenvalues |
-1 3+ 5+ 7- 0 13- -6 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-11438,-57094] |
[a1,a2,a3,a4,a6] |
Generators |
[-96:457:1] |
Generators of the group modulo torsion |
j |
10591472326681/6053618025 |
j-invariant |
L |
3.2161176819887 |
L(r)(E,1)/r! |
Ω |
0.50006016349857 |
Real period |
R |
1.6078653071276 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000399628 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
25935o2 |
Quadratic twists by: 5 |