Atkin-Lehner |
2- 3+ 7- 83+ |
Signs for the Atkin-Lehner involutions |
Class |
48804f |
Isogeny class |
Conductor |
48804 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
322560 |
Modular degree for the optimal curve |
Δ |
4340756797776 = 24 · 34 · 79 · 83 |
Discriminant |
Eigenvalues |
2- 3+ 2 7- 4 2 -4 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-768777,-259190910] |
[a1,a2,a3,a4,a6] |
Generators |
[-8191620085:62983985:16194277] |
Generators of the group modulo torsion |
j |
77825707884544/6723 |
j-invariant |
L |
6.5412312358143 |
L(r)(E,1)/r! |
Ω |
0.16123132179723 |
Real period |
R |
13.523491512913 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999885 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
48804v1 |
Quadratic twists by: -7 |