Atkin-Lehner |
2+ 5+ 41+ |
Signs for the Atkin-Lehner involutions |
Class |
13120c |
Isogeny class |
Conductor |
13120 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
220332032000 = 220 · 53 · 412 |
Discriminant |
Eigenvalues |
2+ 2 5+ 2 0 4 0 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-170721,27207521] |
[a1,a2,a3,a4,a6] |
Generators |
[28641:870148:27] |
Generators of the group modulo torsion |
j |
2099167877572921/840500 |
j-invariant |
L |
6.7492096031721 |
L(r)(E,1)/r! |
Ω |
0.80886529541093 |
Real period |
R |
8.3440464579993 |
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 |
13120bb2 410c2 118080cp2 65600l2 |
Quadratic twists by: -4 8 -3 5 |