Atkin-Lehner |
2- 3- 5- 11- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
28710bq |
Isogeny class |
Conductor |
28710 |
Conductor |
∏ cp |
162 |
Product of Tamagawa factors cp |
Δ |
-1800874944000 = -1 · 29 · 36 · 53 · 113 · 29 |
Discriminant |
Eigenvalues |
2- 3- 5- -1 11- 2 -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-8672,319619] |
[a1,a2,a3,a4,a6] |
Generators |
[57:61:1] |
Generators of the group modulo torsion |
j |
-98925223576249/2470336000 |
j-invariant |
L |
8.9107392608929 |
L(r)(E,1)/r! |
Ω |
0.83467290775461 |
Real period |
R |
0.59309588876119 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
3190a2 |
Quadratic twists by: -3 |