Atkin-Lehner |
2- 3- 5+ 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
48510dm |
Isogeny class |
Conductor |
48510 |
Conductor |
∏ cp |
128 |
Product of Tamagawa factors cp |
Δ |
4118909384412900 = 22 · 310 · 52 · 78 · 112 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7- 11- 6 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-41243,936807] |
[a1,a2,a3,a4,a6] |
Generators |
[-193:1392:1] |
Generators of the group modulo torsion |
j |
90458382169/48024900 |
j-invariant |
L |
9.7262412921391 |
L(r)(E,1)/r! |
Ω |
0.3845776906424 |
Real period |
R |
3.1613382447823 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999958 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
16170n2 6930bm2 |
Quadratic twists by: -3 -7 |