Atkin-Lehner |
2+ 3+ 19+ 73+ |
Signs for the Atkin-Lehner involutions |
Class |
33288a |
Isogeny class |
Conductor |
33288 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
933129216 = 210 · 32 · 19 · 732 |
Discriminant |
Eigenvalues |
2+ 3+ 2 2 2 4 2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-3672,-84420] |
[a1,a2,a3,a4,a6] |
Generators |
[5060:21535:64] |
Generators of the group modulo torsion |
j |
5348722167652/911259 |
j-invariant |
L |
6.5758048906207 |
L(r)(E,1)/r! |
Ω |
0.61329365403113 |
Real period |
R |
5.3610573396597 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
66576j2 99864j2 |
Quadratic twists by: -4 -3 |