Atkin-Lehner |
2- 3- 17+ 41+ |
Signs for the Atkin-Lehner involutions |
Class |
71094v |
Isogeny class |
Conductor |
71094 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
1105920 |
Modular degree for the optimal curve |
Δ |
196233801556752 = 24 · 36 · 177 · 41 |
Discriminant |
Eigenvalues |
2- 3- -2 0 -4 2 17+ 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-3059649,2059689465] |
[a1,a2,a3,a4,a6] |
Generators |
[432:28395:1] |
Generators of the group modulo torsion |
j |
131233591734941233/8129808 |
j-invariant |
L |
9.7831677009644 |
L(r)(E,1)/r! |
Ω |
0.42702827670799 |
Real period |
R |
1.9091568859603 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000000127 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
4182g1 |
Quadratic twists by: 17 |