Atkin-Lehner |
3- 5- 11+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
47685o |
Isogeny class |
Conductor |
47685 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
365568 |
Modular degree for the optimal curve |
Δ |
-319626938825451675 = -1 · 34 · 52 · 113 · 179 |
Discriminant |
Eigenvalues |
0 3- 5- 1 11+ 2 17+ -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-3275,-27201871] |
[a1,a2,a3,a4,a6] |
Generators |
[7321:626407:1] |
Generators of the group modulo torsion |
j |
-32768/2695275 |
j-invariant |
L |
6.7985476788255 |
L(r)(E,1)/r! |
Ω |
0.1395254028259 |
Real period |
R |
3.0453897377816 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000018 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
47685b1 |
Quadratic twists by: 17 |