Atkin-Lehner |
2- 3- 5+ 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
48510dj |
Isogeny class |
Conductor |
48510 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
Δ |
711910263972600 = 23 · 36 · 52 · 79 · 112 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7- 11- -2 -6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-6453383,6311611527] |
[a1,a2,a3,a4,a6] |
Generators |
[39891:-38824:27] |
Generators of the group modulo torsion |
j |
346553430870203929/8300600 |
j-invariant |
L |
8.2549225645773 |
L(r)(E,1)/r! |
Ω |
0.36867191573215 |
Real period |
R |
0.93295716917633 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000032 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
5390p2 6930bk2 |
Quadratic twists by: -3 -7 |