Atkin-Lehner |
2- 5- 13- 73- |
Signs for the Atkin-Lehner involutions |
Class |
75920n |
Isogeny class |
Conductor |
75920 |
Conductor |
∏ cp |
40 |
Product of Tamagawa factors cp |
Δ |
-3947840000000000 = -1 · 215 · 510 · 132 · 73 |
Discriminant |
Eigenvalues |
2- 0 5- 0 -6 13- -4 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,36293,-1434006] |
[a1,a2,a3,a4,a6] |
Generators |
[63:1050:1] |
Generators of the group modulo torsion |
j |
1290720982835439/963828125000 |
j-invariant |
L |
5.2146984632654 |
L(r)(E,1)/r! |
Ω |
0.24650896492922 |
Real period |
R |
2.1154193989147 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999982526 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
9490k2 |
Quadratic twists by: -4 |