Atkin-Lehner |
2+ 3- 5+ 53- |
Signs for the Atkin-Lehner involutions |
Class |
38160j |
Isogeny class |
Conductor |
38160 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
168960 |
Modular degree for the optimal curve |
Δ |
-300441312000000 = -1 · 211 · 311 · 56 · 53 |
Discriminant |
Eigenvalues |
2+ 3- 5+ -5 1 2 0 -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,357,-833942] |
[a1,a2,a3,a4,a6] |
Generators |
[359:6750:1] |
Generators of the group modulo torsion |
j |
3370318/201234375 |
j-invariant |
L |
3.6927657975524 |
L(r)(E,1)/r! |
Ω |
0.25136154516968 |
Real period |
R |
1.8363816326101 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999991 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
19080k1 12720l1 |
Quadratic twists by: -4 -3 |