Atkin-Lehner |
2- 3+ 5- 7- 11+ |
Signs for the Atkin-Lehner involutions |
Class |
73920fq |
Isogeny class |
Conductor |
73920 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
Δ |
1.2744548472796E+20 |
Discriminant |
Eigenvalues |
2- 3+ 5- 7- 11+ 2 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-9733025,-11671581375] |
[a1,a2,a3,a4,a6] |
j |
388980071198593573609/486165942108000 |
j-invariant |
L |
2.05154676294 |
L(r)(E,1)/r! |
Ω |
0.085481116332629 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
73920dg4 18480cu3 |
Quadratic twists by: -4 8 |