Atkin-Lehner |
2- 3+ 5+ 101+ |
Signs for the Atkin-Lehner involutions |
Class |
48480d |
Isogeny class |
Conductor |
48480 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
73728 |
Modular degree for the optimal curve |
Δ |
5301288000 = 26 · 38 · 53 · 101 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 0 2 -6 -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-16806,844200] |
[a1,a2,a3,a4,a6] |
Generators |
[-46:1232:1] [-6:972:1] |
Generators of the group modulo torsion |
j |
8202810093443776/82832625 |
j-invariant |
L |
7.6895359139646 |
L(r)(E,1)/r! |
Ω |
1.2286467452667 |
Real period |
R |
6.2585409057459 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000002 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
48480o1 96960dx2 |
Quadratic twists by: -4 8 |