Atkin-Lehner |
2+ 59- |
Signs for the Atkin-Lehner involutions |
Class |
3776h |
Isogeny class |
Conductor |
3776 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
448 |
Modular degree for the optimal curve |
Δ |
-60416 = -1 · 210 · 59 |
Discriminant |
Eigenvalues |
2+ -1 -3 -1 -6 4 -6 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-37,101] |
[a1,a2,a3,a4,a6] |
Generators |
[-4:13:1] [1:8:1] |
Generators of the group modulo torsion |
j |
-5619712/59 |
j-invariant |
L |
3.2879825075781 |
L(r)(E,1)/r! |
Ω |
3.5242227355317 |
Real period |
R |
0.46648335736979 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999956 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
3776l1 236b1 33984o1 94400p1 |
Quadratic twists by: -4 8 -3 5 |