Atkin-Lehner |
2- 3+ 7- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
72912bl |
Isogeny class |
Conductor |
72912 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
-68075197575168 = -1 · 212 · 3 · 78 · 312 |
Discriminant |
Eigenvalues |
2- 3+ -4 7- -2 2 -2 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,9000,219696] |
[a1,a2,a3,a4,a6] |
Generators |
[26:-686:1] |
Generators of the group modulo torsion |
j |
167284151/141267 |
j-invariant |
L |
3.8009793366594 |
L(r)(E,1)/r! |
Ω |
0.40040571045824 |
Real period |
R |
1.1866025002038 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999999091 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
4557o2 10416bi2 |
Quadratic twists by: -4 -7 |