Atkin-Lehner |
2- 3+ 7- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
84966cy |
Isogeny class |
Conductor |
84966 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
143360 |
Modular degree for the optimal curve |
Δ |
-7137261762876 = -1 · 22 · 32 · 79 · 173 |
Discriminant |
Eigenvalues |
2- 3+ -2 7- -2 -2 17+ -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-2794,-141709] |
[a1,a2,a3,a4,a6] |
Generators |
[269:4185:1] |
Generators of the group modulo torsion |
j |
-12167/36 |
j-invariant |
L |
5.8671831550593 |
L(r)(E,1)/r! |
Ω |
0.30367938011885 |
Real period |
R |
4.8300802890313 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000004551 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
84966du1 84966dt1 |
Quadratic twists by: -7 17 |