Atkin-Lehner |
2+ 3- 5- 53+ |
Signs for the Atkin-Lehner involutions |
Class |
4770o |
Isogeny class |
Conductor |
4770 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
Δ |
-191977593750 = -1 · 2 · 37 · 56 · 532 |
Discriminant |
Eigenvalues |
2+ 3- 5- -4 -4 4 4 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-954,24178] |
[a1,a2,a3,a4,a6] |
Generators |
[17:104:1] |
Generators of the group modulo torsion |
j |
-131794519969/263343750 |
j-invariant |
L |
2.5867329420617 |
L(r)(E,1)/r! |
Ω |
0.89727092383776 |
Real period |
R |
0.4804815865049 |
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 |
38160by2 1590m2 23850cr2 |
Quadratic twists by: -4 -3 5 |