Atkin-Lehner |
2- 3- 7- |
Signs for the Atkin-Lehner involutions |
Class |
336f |
Isogeny class |
Conductor |
336 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
24 |
Modular degree for the optimal curve |
Δ |
-2352 = -1 · 24 · 3 · 72 |
Discriminant |
Eigenvalues |
2- 3- 4 7- -2 -6 -4 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-1,2] |
[a1,a2,a3,a4,a6] |
j |
-16384/147 |
j-invariant |
L |
1.9657966013277 |
L(r)(E,1)/r! |
Ω |
3.9315932026554 |
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 |
84b1 1344o1 1008m1 8400bj1 |
Quadratic twists by: -4 8 -3 5 |