Atkin-Lehner |
3- 5+ 13- 73- |
Signs for the Atkin-Lehner involutions |
Class |
71175n |
Isogeny class |
Conductor |
71175 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
Δ |
4925170986328125 = 312 · 510 · 13 · 73 |
Discriminant |
Eigenvalues |
1 3- 5+ 0 -4 13- -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-136026,-19023677] |
[a1,a2,a3,a4,a6] |
j |
17814140715089809/315210943125 |
j-invariant |
L |
2.9863591182611 |
L(r)(E,1)/r! |
Ω |
0.24886325877967 |
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 |
14235a3 |
Quadratic twists by: 5 |