Atkin-Lehner |
2- 3- 7- |
Signs for the Atkin-Lehner involutions |
Class |
2352w |
Isogeny class |
Conductor |
2352 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
192 |
Modular degree for the optimal curve |
Δ |
16464 = 24 · 3 · 73 |
Discriminant |
Eigenvalues |
2- 3- -2 7- -2 4 -6 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-9,6] |
[a1,a2,a3,a4,a6] |
j |
16384/3 |
j-invariant |
L |
1.8598349530204 |
L(r)(E,1)/r! |
Ω |
3.7196699060408 |
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 |
588c1 9408cb1 7056bt1 58800fs1 |
Quadratic twists by: -4 8 -3 5 |