Atkin-Lehner |
2+ 3- 5- 7- 17- |
Signs for the Atkin-Lehner involutions |
Class |
85680ce |
Isogeny class |
Conductor |
85680 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
2285229542400 = 210 · 37 · 52 · 74 · 17 |
Discriminant |
Eigenvalues |
2+ 3- 5- 7- 0 6 17- -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-244947,46661186] |
[a1,a2,a3,a4,a6] |
Generators |
[482:6370:1] |
Generators of the group modulo torsion |
j |
2177271568809796/3061275 |
j-invariant |
L |
8.2438990255028 |
L(r)(E,1)/r! |
Ω |
0.69616032169918 |
Real period |
R |
2.9604886878897 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999952817 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
42840z4 28560h4 |
Quadratic twists by: -4 -3 |