Atkin-Lehner |
3- 5+ 7- 17+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
33915m |
Isogeny class |
Conductor |
33915 |
Conductor |
∏ cp |
108 |
Product of Tamagawa factors cp |
Δ |
-7224370843709698875 = -1 · 36 · 53 · 73 · 173 · 196 |
Discriminant |
Eigenvalues |
0 3- 5+ 7- 0 5 17+ 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-45491,129356501] |
[a1,a2,a3,a4,a6] |
j |
-10411413857502920704/7224370843709698875 |
j-invariant |
L |
2.285636524705 |
L(r)(E,1)/r! |
Ω |
0.19046971039189 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
101745bk2 |
Quadratic twists by: -3 |