Atkin-Lehner |
2+ 3- 11- 37+ |
Signs for the Atkin-Lehner involutions |
Class |
78144bl |
Isogeny class |
Conductor |
78144 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
24425938944 = 214 · 32 · 112 · 372 |
Discriminant |
Eigenvalues |
2+ 3- -2 0 11- -2 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-1649,24111] |
[a1,a2,a3,a4,a6] |
Generators |
[-45:96:1] |
Generators of the group modulo torsion |
j |
30285104848/1490841 |
j-invariant |
L |
6.7202383716018 |
L(r)(E,1)/r! |
Ω |
1.1817585967829 |
Real period |
R |
2.8433211280699 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999978868 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
78144bs2 9768a2 |
Quadratic twists by: -4 8 |