Atkin-Lehner |
2- 3- 5- 7+ 79+ |
Signs for the Atkin-Lehner involutions |
Class |
33180p |
Isogeny class |
Conductor |
33180 |
Conductor |
∏ cp |
22 |
Product of Tamagawa factors cp |
deg |
1087680 |
Modular degree for the optimal curve |
Δ |
149372212500000000 = 28 · 32 · 511 · 75 · 79 |
Discriminant |
Eigenvalues |
2- 3- 5- 7+ -5 1 -4 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-12561165,-17139528225] |
[a1,a2,a3,a4,a6] |
j |
856196686262889868926976/583485205078125 |
j-invariant |
L |
1.764268866261 |
L(r)(E,1)/r! |
Ω |
0.080194039375514 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
99540g1 |
Quadratic twists by: -3 |