Atkin-Lehner |
2+ 5- 41- |
Signs for the Atkin-Lehner involutions |
Class |
13120s |
Isogeny class |
Conductor |
13120 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
-4406640640000 = -1 · 222 · 54 · 412 |
Discriminant |
Eigenvalues |
2+ 2 5- -2 -2 6 -6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,4095,4097] |
[a1,a2,a3,a4,a6] |
Generators |
[449:9600:1] |
Generators of the group modulo torsion |
j |
28962726911/16810000 |
j-invariant |
L |
6.6947582641959 |
L(r)(E,1)/r! |
Ω |
0.46677033110545 |
Real period |
R |
1.7928405626009 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
13120bn2 410d2 118080y2 65600x2 |
Quadratic twists by: -4 8 -3 5 |