Atkin-Lehner |
2- 3+ 37- |
Signs for the Atkin-Lehner involutions |
Class |
65712v |
Isogeny class |
Conductor |
65712 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
151249047552 = 212 · 36 · 373 |
Discriminant |
Eigenvalues |
2- 3+ -2 0 0 0 2 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-2824,55600] |
[a1,a2,a3,a4,a6] |
Generators |
[-12:296:1] |
Generators of the group modulo torsion |
j |
12008989/729 |
j-invariant |
L |
3.707281427048 |
L(r)(E,1)/r! |
Ω |
1.0109400803864 |
Real period |
R |
0.91679059400371 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999995943 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
4107a2 65712u2 |
Quadratic twists by: -4 37 |