Atkin-Lehner |
2- 3- 5- 19- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
33060s |
Isogeny class |
Conductor |
33060 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
Δ |
-66090354722438400 = -1 · 28 · 32 · 52 · 196 · 293 |
Discriminant |
Eigenvalues |
2- 3- 5- 2 0 2 -6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,95780,4808468] |
[a1,a2,a3,a4,a6] |
Generators |
[931:30030:1] |
Generators of the group modulo torsion |
j |
379580340143027504/258165448134525 |
j-invariant |
L |
8.1715075403749 |
L(r)(E,1)/r! |
Ω |
0.21940705245427 |
Real period |
R |
6.2072659386355 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999999 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
99180n4 |
Quadratic twists by: -3 |