Atkin-Lehner |
2- 3+ 5+ 7- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
47880t |
Isogeny class |
Conductor |
47880 |
Conductor |
∏ cp |
22 |
Product of Tamagawa factors cp |
deg |
633600 |
Modular degree for the optimal curve |
Δ |
-7572221167277168640 = -1 · 211 · 39 · 5 · 711 · 19 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7- 3 -1 0 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-264843,-142409178] |
[a1,a2,a3,a4,a6] |
Generators |
[11898:1296540:1] |
Generators of the group modulo torsion |
j |
-50964522954966/187846040585 |
j-invariant |
L |
5.9654550369785 |
L(r)(E,1)/r! |
Ω |
0.096383206409654 |
Real period |
R |
2.8133225406689 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000043 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
95760c1 47880h1 |
Quadratic twists by: -4 -3 |