Atkin-Lehner |
2- 3- 7- 41- |
Signs for the Atkin-Lehner involutions |
Class |
72324s |
Isogeny class |
Conductor |
72324 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
968438032128 = 28 · 38 · 73 · 412 |
Discriminant |
Eigenvalues |
2- 3- 2 7- -6 0 6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-564879,163410982] |
[a1,a2,a3,a4,a6] |
Generators |
[3922:16605:8] |
Generators of the group modulo torsion |
j |
311407012011184/15129 |
j-invariant |
L |
7.3287897863583 |
L(r)(E,1)/r! |
Ω |
0.65819314676975 |
Real period |
R |
2.7836774899547 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999993678 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
24108i2 72324l2 |
Quadratic twists by: -3 -7 |