Atkin-Lehner |
2- 3+ 11+ 61- |
Signs for the Atkin-Lehner involutions |
Class |
32208j |
Isogeny class |
Conductor |
32208 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
3017760768 = 213 · 32 · 11 · 612 |
Discriminant |
Eigenvalues |
2- 3+ 4 0 11+ 2 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-1816,-29072] |
[a1,a2,a3,a4,a6] |
Generators |
[52:120:1] |
Generators of the group modulo torsion |
j |
161789533849/736758 |
j-invariant |
L |
6.5108511073625 |
L(r)(E,1)/r! |
Ω |
0.73150899612782 |
Real period |
R |
2.2251438949579 |
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 |
4026e2 128832bn2 96624bv2 |
Quadratic twists by: -4 8 -3 |