Atkin-Lehner |
2- 3- 5+ 7+ 11+ |
Signs for the Atkin-Lehner involutions |
Class |
48510cm |
Isogeny class |
Conductor |
48510 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
100800 |
Modular degree for the optimal curve |
Δ |
2311396960950 = 2 · 36 · 52 · 78 · 11 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7+ 11+ -3 0 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-8168,276581] |
[a1,a2,a3,a4,a6] |
Generators |
[-130:5151:8] |
Generators of the group modulo torsion |
j |
14338681/550 |
j-invariant |
L |
8.4099812637789 |
L(r)(E,1)/r! |
Ω |
0.81232014119854 |
Real period |
R |
5.176518983856 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000016 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
5390n1 48510dz1 |
Quadratic twists by: -3 -7 |