Atkin-Lehner |
2+ 5+ 41- |
Signs for the Atkin-Lehner involutions |
Class |
13120l |
Isogeny class |
Conductor |
13120 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
-18518907289600 = -1 · 218 · 52 · 414 |
Discriminant |
Eigenvalues |
2+ 0 5+ -4 0 2 -6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,6292,77232] |
[a1,a2,a3,a4,a6] |
Generators |
[29:533:1] [86:1120:1] |
Generators of the group modulo torsion |
j |
105087226959/70644025 |
j-invariant |
L |
5.703902942481 |
L(r)(E,1)/r! |
Ω |
0.43294686030979 |
Real period |
R |
1.6468253570427 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999992 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
13120bi4 205a4 118080ci3 65600r3 |
Quadratic twists by: -4 8 -3 5 |