Atkin-Lehner |
2+ 3+ 73+ |
Signs for the Atkin-Lehner involutions |
Class |
3504d |
Isogeny class |
Conductor |
3504 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
384 |
Modular degree for the optimal curve |
Δ |
672768 = 210 · 32 · 73 |
Discriminant |
Eigenvalues |
2+ 3+ 2 -2 2 -4 4 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-32,-48] |
[a1,a2,a3,a4,a6] |
Generators |
[-2:2:1] |
Generators of the group modulo torsion |
j |
3650692/657 |
j-invariant |
L |
3.2140067348098 |
L(r)(E,1)/r! |
Ω |
2.0268712873243 |
Real period |
R |
0.79284924378516 |
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 |
1752c1 14016bw1 10512d1 87600s1 |
Quadratic twists by: -4 8 -3 5 |