Atkin-Lehner |
3- 67+ |
Signs for the Atkin-Lehner involutions |
Class |
40401f |
Isogeny class |
Conductor |
40401 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
39168 |
Modular degree for the optimal curve |
Δ |
-17759754387 = -1 · 310 · 673 |
Discriminant |
Eigenvalues |
0 3- 4 4 -4 4 -3 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,402,5611] |
[a1,a2,a3,a4,a6] |
j |
32768/81 |
j-invariant |
L |
3.432280168885 |
L(r)(E,1)/r! |
Ω |
0.85807004219364 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
13467a1 40401g1 |
Quadratic twists by: -3 -67 |