Atkin-Lehner |
2- 23+ 71- |
Signs for the Atkin-Lehner involutions |
Class |
104512f |
Isogeny class |
Conductor |
104512 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
Δ |
-6384009848696041472 = -1 · 212 · 233 · 716 |
Discriminant |
Eigenvalues |
2- 0 2 0 0 6 -4 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-412324,-158628288] |
[a1,a2,a3,a4,a6] |
Generators |
[111573250938:4556753388064:57960603] |
Generators of the group modulo torsion |
j |
-1892690521713402048/1558596154466807 |
j-invariant |
L |
8.2350423944661 |
L(r)(E,1)/r! |
Ω |
0.091017588875294 |
Real period |
R |
15.079580561117 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000013266 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
104512i2 52256a1 |
Quadratic twists by: -4 8 |