Atkin-Lehner |
2+ 5+ 41- |
Signs for the Atkin-Lehner involutions |
Class |
13120h |
Isogeny class |
Conductor |
13120 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
2754150400 = 216 · 52 · 412 |
Discriminant |
Eigenvalues |
2+ 0 5+ 0 -4 -6 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-2188,-39312] |
[a1,a2,a3,a4,a6] |
Generators |
[-27:9:1] [72:420:1] |
Generators of the group modulo torsion |
j |
17676070884/42025 |
j-invariant |
L |
5.9220429193517 |
L(r)(E,1)/r! |
Ω |
0.69815165364118 |
Real period |
R |
8.4824592027611 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
13120bd2 1640g2 118080bz2 65600n2 |
Quadratic twists by: -4 8 -3 5 |