Atkin-Lehner |
2+ 3- 5- 11+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
84150cy |
Isogeny class |
Conductor |
84150 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
2112000 |
Modular degree for the optimal curve |
Δ |
-7185258154800000000 = -1 · 210 · 38 · 58 · 115 · 17 |
Discriminant |
Eigenvalues |
2+ 3- 5- 1 11+ -2 17+ -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-1310742,-591491084] |
[a1,a2,a3,a4,a6] |
Generators |
[12768450748:5489307090514:68921] |
Generators of the group modulo torsion |
j |
-874556722890625/25232182272 |
j-invariant |
L |
4.7127640062383 |
L(r)(E,1)/r! |
Ω |
0.070429045797488 |
Real period |
R |
16.728765642337 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
28050cw1 84150fc1 |
Quadratic twists by: -3 5 |