Atkin-Lehner |
2+ 3+ 5- 7- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
47880i |
Isogeny class |
Conductor |
47880 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
deg |
61440 |
Modular degree for the optimal curve |
Δ |
426431250000 = 24 · 33 · 58 · 7 · 192 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 7- 6 2 -6 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1902,-5679] |
[a1,a2,a3,a4,a6] |
Generators |
[-8:95:1] |
Generators of the group modulo torsion |
j |
1761454798848/987109375 |
j-invariant |
L |
7.3050393855934 |
L(r)(E,1)/r! |
Ω |
0.7770173447533 |
Real period |
R |
0.5875865766497 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999685 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
95760m1 47880u1 |
Quadratic twists by: -4 -3 |