Atkin-Lehner |
2+ 3- 5- 43+ |
Signs for the Atkin-Lehner involutions |
Class |
41280bj |
Isogeny class |
Conductor |
41280 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
-25206136012800 = -1 · 215 · 32 · 52 · 434 |
Discriminant |
Eigenvalues |
2+ 3- 5- 0 -4 2 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,7135,-65025] |
[a1,a2,a3,a4,a6] |
Generators |
[25:360:1] |
Generators of the group modulo torsion |
j |
1225730068408/769230225 |
j-invariant |
L |
7.7635998639276 |
L(r)(E,1)/r! |
Ω |
0.38618085490422 |
Real period |
R |
2.5129417232029 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999999 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
41280s3 20640a4 123840bf3 |
Quadratic twists by: -4 8 -3 |