Atkin-Lehner |
3- 7- 13- |
Signs for the Atkin-Lehner involutions |
Class |
74529bp |
Isogeny class |
Conductor |
74529 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
-28502209951528131 = -1 · 38 · 711 · 133 |
Discriminant |
Eigenvalues |
2 3- -3 7- 0 13- 2 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-28357329,58122742837] |
[a1,a2,a3,a4,a6] |
j |
-13383627864961024/151263 |
j-invariant |
L |
2.099654549959 |
L(r)(E,1)/r! |
Ω |
0.26245681860693 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
24843k2 10647e2 74529bs2 |
Quadratic twists by: -3 -7 13 |