Atkin-Lehner |
2+ 3+ 11- 67+ |
Signs for the Atkin-Lehner involutions |
Class |
48642f |
Isogeny class |
Conductor |
48642 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
-11594799425682 = -1 · 2 · 36 · 116 · 672 |
Discriminant |
Eigenvalues |
2+ 3+ 2 -2 11- 0 -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-3269,-180297] |
[a1,a2,a3,a4,a6] |
Generators |
[149:-1708:1] [24182:1317457:8] |
Generators of the group modulo torsion |
j |
-2181825073/6544962 |
j-invariant |
L |
6.59789993669 |
L(r)(E,1)/r! |
Ω |
0.29180672658109 |
Real period |
R |
5.652628380087 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999996 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
402c2 |
Quadratic twists by: -11 |