Atkin-Lehner |
2+ 3- 11- 19- |
Signs for the Atkin-Lehner involutions |
Class |
30096j |
Isogeny class |
Conductor |
30096 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
28672 |
Modular degree for the optimal curve |
Δ |
1404158976 = 210 · 38 · 11 · 19 |
Discriminant |
Eigenvalues |
2+ 3- 2 2 11- 6 2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-5619,-162110] |
[a1,a2,a3,a4,a6] |
j |
26282902468/1881 |
j-invariant |
L |
4.4114021306558 |
L(r)(E,1)/r! |
Ω |
0.55142526633205 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
15048d1 120384cs1 10032e1 |
Quadratic twists by: -4 8 -3 |