Atkin-Lehner |
2- 3- 7- 31- |
Signs for the Atkin-Lehner involutions |
Class |
72912ct |
Isogeny class |
Conductor |
72912 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
Δ |
7237244442210048 = 28 · 36 · 79 · 312 |
Discriminant |
Eigenvalues |
2- 3- 0 7- 0 4 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-103308,12073032] |
[a1,a2,a3,a4,a6] |
Generators |
[-369:294:1] |
Generators of the group modulo torsion |
j |
4048569250000/240295167 |
j-invariant |
L |
8.5352556272036 |
L(r)(E,1)/r! |
Ω |
0.41204250246333 |
Real period |
R |
3.4524171564225 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999989756 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
18228a2 10416o2 |
Quadratic twists by: -4 -7 |