Atkin-Lehner |
2+ 3- 13- 37+ |
Signs for the Atkin-Lehner involutions |
Class |
46176l |
Isogeny class |
Conductor |
46176 |
Conductor |
∏ cp |
192 |
Product of Tamagawa factors cp |
Δ |
123501996606763008 = 212 · 33 · 138 · 372 |
Discriminant |
Eigenvalues |
2+ 3- 0 4 -4 13- 4 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-1409153,643159407] |
[a1,a2,a3,a4,a6] |
Generators |
[553:5772:1] |
Generators of the group modulo torsion |
j |
75550704956416936000/30151854640323 |
j-invariant |
L |
8.5338375141674 |
L(r)(E,1)/r! |
Ω |
0.32494094939467 |
Real period |
R |
0.54714027849196 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999949 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
46176h2 92352bo1 |
Quadratic twists by: -4 8 |