Atkin-Lehner |
2+ 5+ 7- 31- |
Signs for the Atkin-Lehner involutions |
Class |
43400j |
Isogeny class |
Conductor |
43400 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
4708900000000 = 28 · 58 · 72 · 312 |
Discriminant |
Eigenvalues |
2+ 0 5+ 7- 0 -6 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-9175,-321750] |
[a1,a2,a3,a4,a6] |
Generators |
[1555:61200:1] |
Generators of the group modulo torsion |
j |
21354132816/1177225 |
j-invariant |
L |
4.9744190943946 |
L(r)(E,1)/r! |
Ω |
0.48948286810448 |
Real period |
R |
5.0813005097152 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000005 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
86800a2 8680n2 |
Quadratic twists by: -4 5 |