Atkin-Lehner |
2+ 3- 13- |
Signs for the Atkin-Lehner involutions |
Class |
3744h |
Isogeny class |
Conductor |
3744 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
2302632603648 = 212 · 39 · 134 |
Discriminant |
Eigenvalues |
2+ 3- 2 0 -4 13- 6 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-3324,-10528] |
[a1,a2,a3,a4,a6] |
Generators |
[-4:52:1] |
Generators of the group modulo torsion |
j |
1360251712/771147 |
j-invariant |
L |
3.905917033772 |
L(r)(E,1)/r! |
Ω |
0.67853723125149 |
Real period |
R |
1.4390945897574 |
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 |
3744p3 7488q1 1248h3 93600di3 |
Quadratic twists by: -4 8 -3 5 |