Atkin-Lehner |
2+ 7- 23- |
Signs for the Atkin-Lehner involutions |
Class |
72128u |
Isogeny class |
Conductor |
72128 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
2.3042746314023E+21 |
Discriminant |
Eigenvalues |
2+ -2 0 7- 0 0 6 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-3325793,-341474561] |
[a1,a2,a3,a4,a6] |
Generators |
[258570:5053537:125] |
Generators of the group modulo torsion |
j |
263822189935250/149429406721 |
j-invariant |
L |
4.6397230588972 |
L(r)(E,1)/r! |
Ω |
0.1206034372478 |
Real period |
R |
9.6177255907912 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999997309 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
72128bh2 9016h2 10304n2 |
Quadratic twists by: -4 8 -7 |