Atkin-Lehner |
2+ 3+ 5+ 11- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
84150p |
Isogeny class |
Conductor |
84150 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
92160 |
Modular degree for the optimal curve |
Δ |
5364562500 = 22 · 33 · 56 · 11 · 172 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ -4 11- -4 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-867,-8959] |
[a1,a2,a3,a4,a6] |
Generators |
[-20:19:1] [-17:34:1] |
Generators of the group modulo torsion |
j |
170953875/12716 |
j-invariant |
L |
7.1230940091422 |
L(r)(E,1)/r! |
Ω |
0.88390961466689 |
Real period |
R |
2.0146556533394 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000314 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
84150ec1 3366l1 |
Quadratic twists by: -3 5 |