Atkin-Lehner |
2- 3+ 5- 11- 47+ |
Signs for the Atkin-Lehner involutions |
Class |
62040s |
Isogeny class |
Conductor |
62040 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
8162597836800 = 211 · 38 · 52 · 11 · 472 |
Discriminant |
Eigenvalues |
2- 3+ 5- 0 11- -2 -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-25918960,-50780923700] |
[a1,a2,a3,a4,a6] |
Generators |
[4890991:-540029106:343] [47930:756945:8] |
Generators of the group modulo torsion |
j |
940256817288943711891682/3985643475 |
j-invariant |
L |
9.3521159707858 |
L(r)(E,1)/r! |
Ω |
0.066910636378562 |
Real period |
R |
69.88512198481 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999911 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
124080w6 |
Quadratic twists by: -4 |