Atkin-Lehner |
2+ 3- 11- 71+ |
Signs for the Atkin-Lehner involutions |
Class |
56232f |
Isogeny class |
Conductor |
56232 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
309837211554816 = 210 · 318 · 11 · 71 |
Discriminant |
Eigenvalues |
2+ 3- 2 0 11- 2 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-152139,-22824970] |
[a1,a2,a3,a4,a6] |
Generators |
[673314787210:12002461993530:1083206683] |
Generators of the group modulo torsion |
j |
521696471268388/415055421 |
j-invariant |
L |
7.8402051788585 |
L(r)(E,1)/r! |
Ω |
0.24174647877164 |
Real period |
R |
16.215758795242 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000176 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
112464d4 18744f3 |
Quadratic twists by: -4 -3 |