Atkin-Lehner |
2- 3- 17+ 37- |
Signs for the Atkin-Lehner involutions |
Class |
30192x |
Isogeny class |
Conductor |
30192 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
8064 |
Modular degree for the optimal curve |
Δ |
-185499648 = -1 · 215 · 32 · 17 · 37 |
Discriminant |
Eigenvalues |
2- 3- 0 -1 6 1 17+ 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-48,-684] |
[a1,a2,a3,a4,a6] |
j |
-3048625/45288 |
j-invariant |
L |
3.0795463664422 |
L(r)(E,1)/r! |
Ω |
0.7698865916105 |
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 |
3774m1 120768bv1 90576bu1 |
Quadratic twists by: -4 8 -3 |