Atkin-Lehner |
3- 5+ 7- 13+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
69615m |
Isogeny class |
Conductor |
69615 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
-28506899539755 = -1 · 37 · 5 · 74 · 13 · 174 |
Discriminant |
Eigenvalues |
1 3- 5+ 7- 4 13+ 17- -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,6705,-147740] |
[a1,a2,a3,a4,a6] |
j |
45725250750479/39104114595 |
j-invariant |
L |
2.9307653757321 |
L(r)(E,1)/r! |
Ω |
0.36634567337044 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
23205h3 |
Quadratic twists by: -3 |