Atkin-Lehner |
2- 3- 5- 7- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
74970di |
Isogeny class |
Conductor |
74970 |
Conductor |
∏ cp |
384 |
Product of Tamagawa factors cp |
Δ |
65584838131974000 = 24 · 39 · 53 · 78 · 172 |
Discriminant |
Eigenvalues |
2- 3- 5- 7- 0 4 17+ -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-127006907,550952490939] |
[a1,a2,a3,a4,a6] |
Generators |
[6477:926:1] |
Generators of the group modulo torsion |
j |
2641739317048851306841/764694000 |
j-invariant |
L |
11.607432947926 |
L(r)(E,1)/r! |
Ω |
0.20664301979437 |
Real period |
R |
0.5851190134032 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000454 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
24990e2 10710bg2 |
Quadratic twists by: -3 -7 |