Atkin-Lehner |
3- 7- 23- |
Signs for the Atkin-Lehner involutions |
Class |
33327m |
Isogeny class |
Conductor |
33327 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
428327189268489 = 310 · 72 · 236 |
Discriminant |
Eigenvalues |
1 3- -2 7- 4 -2 -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-19143,-213840] |
[a1,a2,a3,a4,a6] |
j |
7189057/3969 |
j-invariant |
L |
0.86892660667123 |
L(r)(E,1)/r! |
Ω |
0.43446330334261 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
11109i2 63a2 |
Quadratic twists by: -3 -23 |