Atkin-Lehner |
2- 3- 17+ 37- |
Signs for the Atkin-Lehner involutions |
Class |
30192be |
Isogeny class |
Conductor |
30192 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
19968 |
Modular degree for the optimal curve |
Δ |
-1056478464 = -1 · 28 · 38 · 17 · 37 |
Discriminant |
Eigenvalues |
2- 3- 3 3 -5 -4 17+ 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-484,-4552] |
[a1,a2,a3,a4,a6] |
j |
-49081386832/4126869 |
j-invariant |
L |
4.0512641086454 |
L(r)(E,1)/r! |
Ω |
0.50640801358103 |
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 |
7548c1 120768ck1 90576cd1 |
Quadratic twists by: -4 8 -3 |