Atkin-Lehner |
2- 3- 73- |
Signs for the Atkin-Lehner involutions |
Class |
3504x |
Isogeny class |
Conductor |
3504 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
1536 |
Modular degree for the optimal curve |
Δ |
688914432 = 220 · 32 · 73 |
Discriminant |
Eigenvalues |
2- 3- -2 4 0 -2 -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-304,-1708] |
[a1,a2,a3,a4,a6] |
j |
761048497/168192 |
j-invariant |
L |
2.3221200314579 |
L(r)(E,1)/r! |
Ω |
1.161060015729 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
438f1 14016bo1 10512v1 87600bh1 |
Quadratic twists by: -4 8 -3 5 |