Atkin-Lehner |
2- 3- 11+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
15048d |
Isogeny class |
Conductor |
15048 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
14336 |
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] |
Generators |
[-85:160:1] |
Generators of the group modulo torsion |
j |
26282902468/1881 |
j-invariant |
L |
5.5120060715379 |
L(r)(E,1)/r! |
Ω |
1.4439115940031 |
Real period |
R |
3.8174124333029 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
30096j1 120384bx1 5016a1 |
Quadratic twists by: -4 8 -3 |