Atkin-Lehner |
2+ 3- 7+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
84966bj |
Isogeny class |
Conductor |
84966 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
678912 |
Modular degree for the optimal curve |
Δ |
-5125130846447346 = -1 · 2 · 32 · 74 · 179 |
Discriminant |
Eigenvalues |
2+ 3- 1 7+ 6 4 17+ 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,35107,2338130] |
[a1,a2,a3,a4,a6] |
j |
16807/18 |
j-invariant |
L |
3.427451052986 |
L(r)(E,1)/r! |
Ω |
0.28562092761057 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
84966r1 84966a1 |
Quadratic twists by: -7 17 |