Atkin-Lehner |
2+ 3- 7- 31- |
Signs for the Atkin-Lehner involutions |
Class |
109368x |
Isogeny class |
Conductor |
109368 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
-1.0515947766353E+22 |
Discriminant |
Eigenvalues |
2+ 3- -2 7- -4 2 2 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-6414051,-7964607490] |
[a1,a2,a3,a4,a6] |
j |
-166140387034274/59869095867 |
j-invariant |
L |
1.4909451474532 |
L(r)(E,1)/r! |
Ω |
0.046592038193128 |
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 |
36456t3 15624g4 |
Quadratic twists by: -3 -7 |