Atkin-Lehner |
2+ 3- 11- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
40128ba |
Isogeny class |
Conductor |
40128 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
202015813923078144 = 215 · 3 · 112 · 198 |
Discriminant |
Eigenvalues |
2+ 3- -2 -4 11- 2 -6 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-189249,23099871] |
[a1,a2,a3,a4,a6] |
Generators |
[89:2640:1] |
Generators of the group modulo torsion |
j |
22875829556351624/6165033383883 |
j-invariant |
L |
4.8518415128393 |
L(r)(E,1)/r! |
Ω |
0.29624340423526 |
Real period |
R |
4.0944721835791 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999983 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
40128h4 20064q2 120384r4 |
Quadratic twists by: -4 8 -3 |