Atkin-Lehner |
2- 3+ 11+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
30096l |
Isogeny class |
Conductor |
30096 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
-48662533472256 = -1 · 215 · 39 · 11 · 193 |
Discriminant |
Eigenvalues |
2- 3+ -3 4 11+ -4 3 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,4941,-307854] |
[a1,a2,a3,a4,a6] |
j |
165469149/603592 |
j-invariant |
L |
1.2922963938878 |
L(r)(E,1)/r! |
Ω |
0.32307409847315 |
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 |
3762b2 120384cl2 30096p1 |
Quadratic twists by: -4 8 -3 |