Atkin-Lehner |
2- 3- 5+ 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
48510dm |
Isogeny class |
Conductor |
48510 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
196608 |
Modular degree for the optimal curve |
Δ |
4754873748240 = 24 · 38 · 5 · 77 · 11 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7- 11- 6 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-32423,2252751] |
[a1,a2,a3,a4,a6] |
Generators |
[-187:1416:1] |
Generators of the group modulo torsion |
j |
43949604889/55440 |
j-invariant |
L |
9.7262412921391 |
L(r)(E,1)/r! |
Ω |
0.7691553812848 |
Real period |
R |
1.5806691223912 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999958 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
16170n1 6930bm1 |
Quadratic twists by: -3 -7 |