Atkin-Lehner |
2- 3+ 5- 7- 17- |
Signs for the Atkin-Lehner involutions |
Class |
74970cj |
Isogeny class |
Conductor |
74970 |
Conductor |
∏ cp |
384 |
Product of Tamagawa factors cp |
Δ |
1171157823785250000 = 24 · 39 · 56 · 77 · 172 |
Discriminant |
Eigenvalues |
2- 3+ 5- 7- 4 -4 17- 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-731702,235395829] |
[a1,a2,a3,a4,a6] |
Generators |
[-313:20981:1] |
Generators of the group modulo torsion |
j |
18708817969323/505750000 |
j-invariant |
L |
11.294659823849 |
L(r)(E,1)/r! |
Ω |
0.27318656161319 |
Real period |
R |
0.43066798670753 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000001099 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
74970c2 10710p2 |
Quadratic twists by: -3 -7 |