Atkin-Lehner |
2+ 3+ 7+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
20832f |
Isogeny class |
Conductor |
20832 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
3418173759877632 = 29 · 310 · 76 · 312 |
Discriminant |
Eigenvalues |
2+ 3+ -4 7+ -2 2 -2 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-633400,-193796984] |
[a1,a2,a3,a4,a6] |
j |
54889416482350564808/6676120624761 |
j-invariant |
L |
0.33846451855346 |
L(r)(E,1)/r! |
Ω |
0.16923225927673 |
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 |
20832t2 41664du2 62496bn2 |
Quadratic twists by: -4 8 -3 |