Atkin-Lehner |
2+ 3+ 5+ 11- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
84150j |
Isogeny class |
Conductor |
84150 |
Conductor |
∏ cp |
80 |
Product of Tamagawa factors cp |
deg |
460800 |
Modular degree for the optimal curve |
Δ |
-2310075281250000 = -1 · 24 · 33 · 59 · 115 · 17 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ -1 11- -1 17+ -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-25542,2802116] |
[a1,a2,a3,a4,a6] |
Generators |
[-71:2098:1] [-176:1438:1] |
Generators of the group modulo torsion |
j |
-4368317413923/5475734000 |
j-invariant |
L |
8.1802403634276 |
L(r)(E,1)/r! |
Ω |
0.41626877568267 |
Real period |
R |
0.24564178366969 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999998197 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
84150dw1 16830bs1 |
Quadratic twists by: -3 5 |