Atkin-Lehner |
2+ 3- 5- 19- |
Signs for the Atkin-Lehner involutions |
Class |
54720ch |
Isogeny class |
Conductor |
54720 |
Conductor |
∏ cp |
80 |
Product of Tamagawa factors cp |
Δ |
425870898993561600 = 220 · 38 · 52 · 195 |
Discriminant |
Eigenvalues |
2+ 3- 5- -2 2 -4 2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-30426304332,2042781522572144] |
[a1,a2,a3,a4,a6] |
j |
16300610738133468173382620881/2228489100 |
j-invariant |
L |
1.5804883861292 |
L(r)(E,1)/r! |
Ω |
0.079024419303669 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
54720el4 1710c4 18240h4 |
Quadratic twists by: -4 8 -3 |