Atkin-Lehner |
3- 67+ |
Signs for the Atkin-Lehner involutions |
Class |
40401l |
Isogeny class |
Conductor |
40401 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
6049296 |
Modular degree for the optimal curve |
Δ |
-5.8266273409662E+21 |
Discriminant |
Eigenvalues |
-2 3- 4 4 -2 5 -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-6316023,-7128459054] |
[a1,a2,a3,a4,a6] |
j |
-94130176/19683 |
j-invariant |
L |
2.5427772122991 |
L(r)(E,1)/r! |
Ω |
0.047088466898602 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
9 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
13467i1 40401p1 |
Quadratic twists by: -3 -67 |