Atkin-Lehner |
2- 3- 5- 13- 61+ |
Signs for the Atkin-Lehner involutions |
Class |
23790u |
Isogeny class |
Conductor |
23790 |
Conductor |
∏ cp |
384 |
Product of Tamagawa factors cp |
Δ |
3340116000000 = 28 · 34 · 56 · 132 · 61 |
Discriminant |
Eigenvalues |
2- 3- 5- -4 2 13- 4 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-83590,9294692] |
[a1,a2,a3,a4,a6] |
Generators |
[164:-142:1] |
Generators of the group modulo torsion |
j |
64593231554906552161/3340116000000 |
j-invariant |
L |
9.6972583112654 |
L(r)(E,1)/r! |
Ω |
0.7497416624067 |
Real period |
R |
0.13473055116713 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
71370f2 118950c2 |
Quadratic twists by: -3 5 |