Atkin-Lehner |
2- 3+ 5+ 7+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
32550bp |
Isogeny class |
Conductor |
32550 |
Conductor |
∏ cp |
36 |
Product of Tamagawa factors cp |
Δ |
-147143707200 = -1 · 26 · 32 · 52 · 73 · 313 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7+ 0 1 3 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,687,17391] |
[a1,a2,a3,a4,a6] |
Generators |
[-11:98:1] |
Generators of the group modulo torsion |
j |
1434215474375/5885748288 |
j-invariant |
L |
7.2569171002577 |
L(r)(E,1)/r! |
Ω |
0.73542701684804 |
Real period |
R |
0.27410065981349 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999998 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
97650x2 32550bi2 |
Quadratic twists by: -3 5 |