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 |
4.6295943728332E+23 |
Discriminant |
Eigenvalues |
2+ 3- 5- 7- -4 -6 17- -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-48465909,-125662349835] |
[a1,a2,a3,a4,a6] |
Generators |
[-4590:11115:1] |
Generators of the group modulo torsion |
j |
146796951366228945601/5397929064360000 |
j-invariant |
L |
3.8296333574838 |
L(r)(E,1)/r! |
Ω |
0.057348459671978 |
Real period |
R |
4.1736445265892 |
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 |
24990by3 10710f4 |
Quadratic twists by: -3 -7 |