Atkin-Lehner |
2+ 3- 5- 7- 17- |
Signs for the Atkin-Lehner involutions |
Class |
74970by |
Isogeny class |
Conductor |
74970 |
Conductor |
∏ cp |
256 |
Product of Tamagawa factors cp |
Δ |
1.5850613636896E+22 |
Discriminant |
Eigenvalues |
2+ 3- 5- 7- -4 -6 17- -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-7682229,5522435253] |
[a1,a2,a3,a4,a6] |
Generators |
[-677:102381:1] |
Generators of the group modulo torsion |
j |
584614687782041281/184812061593600 |
j-invariant |
L |
3.8296333574838 |
L(r)(E,1)/r! |
Ω |
0.11469691934396 |
Real period |
R |
2.0868222632946 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000001022 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
24990by2 10710f2 |
Quadratic twists by: -3 -7 |