Atkin-Lehner |
2+ 3- 73- |
Signs for the Atkin-Lehner involutions |
Class |
3504j |
Isogeny class |
Conductor |
3504 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
98224128 = 211 · 32 · 732 |
Discriminant |
Eigenvalues |
2+ 3- 0 -4 -2 4 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-408,-3276] |
[a1,a2,a3,a4,a6] |
Generators |
[-12:6:1] |
Generators of the group modulo torsion |
j |
3676531250/47961 |
j-invariant |
L |
3.7780519380637 |
L(r)(E,1)/r! |
Ω |
1.0628907203394 |
Real period |
R |
0.88862661649201 |
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 |
1752a2 14016bk2 10512h2 87600e2 |
Quadratic twists by: -4 8 -3 5 |