Atkin-Lehner |
2+ 5+ 7+ 89+ |
Signs for the Atkin-Lehner involutions |
Class |
124600a |
Isogeny class |
Conductor |
124600 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
483840 |
Modular degree for the optimal curve |
Δ |
-2662564940000000 = -1 · 28 · 57 · 75 · 892 |
Discriminant |
Eigenvalues |
2+ -1 5+ 7+ 3 1 5 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-49033,-4844563] |
[a1,a2,a3,a4,a6] |
Generators |
[347:4450:1] |
Generators of the group modulo torsion |
j |
-3259402353664/665641235 |
j-invariant |
L |
6.2049851109128 |
L(r)(E,1)/r! |
Ω |
0.15867337461014 |
Real period |
R |
1.2220436226058 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999958555 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
24920f1 |
Quadratic twists by: 5 |