Atkin-Lehner |
3- 7- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
74529bc |
Isogeny class |
Conductor |
74529 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
-7.159479618461E+21 |
Discriminant |
Eigenvalues |
-1 3- 2 7- 4 13+ -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-2535539,-4356866874] |
[a1,a2,a3,a4,a6] |
Generators |
[269012:15442023:64] |
Generators of the group modulo torsion |
j |
-4354703137/17294403 |
j-invariant |
L |
4.7872718890304 |
L(r)(E,1)/r! |
Ω |
0.054605492750433 |
Real period |
R |
5.4793845446154 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000001222 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
24843d5 10647f6 441c6 |
Quadratic twists by: -3 -7 13 |