Atkin-Lehner |
2- 3+ 7- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
84966cw |
Isogeny class |
Conductor |
84966 |
Conductor |
∏ cp |
384 |
Product of Tamagawa factors cp |
deg |
2654208 |
Modular degree for the optimal curve |
Δ |
-1.245750835612E+19 |
Discriminant |
Eigenvalues |
2- 3+ -2 7- 0 6 17+ 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,13866,-169807149] |
[a1,a2,a3,a4,a6] |
Generators |
[1123:34985:1] |
Generators of the group modulo torsion |
j |
103823/4386816 |
j-invariant |
L |
8.206807170705 |
L(r)(E,1)/r! |
Ω |
0.10368384217476 |
Real period |
R |
3.2980095209058 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000003595 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
12138ba1 4998bl1 |
Quadratic twists by: -7 17 |