Atkin-Lehner |
2- 3+ 17+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
32946r |
Isogeny class |
Conductor |
32946 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
Δ |
1986715029252 = 22 · 3 · 176 · 193 |
Discriminant |
Eigenvalues |
2- 3+ 0 4 0 -4 17+ 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-123698,-16796677] |
[a1,a2,a3,a4,a6] |
Generators |
[27248360:-194004607:64000] |
Generators of the group modulo torsion |
j |
8671983378625/82308 |
j-invariant |
L |
8.3924784114107 |
L(r)(E,1)/r! |
Ω |
0.25457110885466 |
Real period |
R |
10.989042772331 |
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 |
98838q3 114a3 |
Quadratic twists by: -3 17 |