Atkin-Lehner |
2+ 3+ 37+ |
Signs for the Atkin-Lehner involutions |
Class |
32856c |
Isogeny class |
Conductor |
32856 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
5911433646336 = 28 · 32 · 376 |
Discriminant |
Eigenvalues |
2+ 3+ 2 0 4 2 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-5932,133300] |
[a1,a2,a3,a4,a6] |
Generators |
[42289:353430:2197] |
Generators of the group modulo torsion |
j |
35152/9 |
j-invariant |
L |
6.2411962885311 |
L(r)(E,1)/r! |
Ω |
0.7090579771142 |
Real period |
R |
8.8020958651817 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
65712j2 98568t2 24a1 |
Quadratic twists by: -4 -3 37 |