Atkin-Lehner |
2+ 3- 5+ 7- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
65520w |
Isogeny class |
Conductor |
65520 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
-133739424000000 = -1 · 211 · 38 · 56 · 72 · 13 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7- -2 13+ 2 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-2883,-559582] |
[a1,a2,a3,a4,a6] |
Generators |
[103:486:1] |
Generators of the group modulo torsion |
j |
-1775007362/89578125 |
j-invariant |
L |
5.6310974367334 |
L(r)(E,1)/r! |
Ω |
0.2560809092336 |
Real period |
R |
2.7486905669294 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000151 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
32760h2 21840i2 |
Quadratic twists by: -4 -3 |