Atkin-Lehner |
2+ 3- 5+ 11- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
84150ci |
Isogeny class |
Conductor |
84150 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
184320 |
Modular degree for the optimal curve |
Δ |
23992848000000 = 210 · 36 · 56 · 112 · 17 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 2 11- 2 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-7242,28916] |
[a1,a2,a3,a4,a6] |
Generators |
[85:106:1] |
Generators of the group modulo torsion |
j |
3687953625/2106368 |
j-invariant |
L |
5.7111187645114 |
L(r)(E,1)/r! |
Ω |
0.57759352818776 |
Real period |
R |
2.4719454453509 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999990192 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
9350w1 3366p1 |
Quadratic twists by: -3 5 |