Atkin-Lehner |
2+ 3- 5+ 11+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
84150bt |
Isogeny class |
Conductor |
84150 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
460800 |
Modular degree for the optimal curve |
Δ |
-453614782500000 = -1 · 25 · 36 · 57 · 114 · 17 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 2 11+ -5 17- -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-66042,-6595884] |
[a1,a2,a3,a4,a6] |
Generators |
[8733:60671:27] |
Generators of the group modulo torsion |
j |
-2796665386969/39823520 |
j-invariant |
L |
4.6948406129373 |
L(r)(E,1)/r! |
Ω |
0.1487806475401 |
Real period |
R |
3.9444315259294 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000201 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
9350z1 16830cl1 |
Quadratic twists by: -3 5 |