Atkin-Lehner |
2+ 3- 11- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
49368k |
Isogeny class |
Conductor |
49368 |
Conductor |
∏ cp |
80 |
Product of Tamagawa factors cp |
Δ |
-220344851037053952 = -1 · 210 · 310 · 118 · 17 |
Discriminant |
Eigenvalues |
2+ 3- 0 0 11- 6 17+ 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-63928,-23447008] |
[a1,a2,a3,a4,a6] |
Generators |
[491:7986:1] |
Generators of the group modulo torsion |
j |
-15927506500/121463793 |
j-invariant |
L |
8.3846498117434 |
L(r)(E,1)/r! |
Ω |
0.13260896648076 |
Real period |
R |
3.1614188822497 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999831 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
98736d2 4488i2 |
Quadratic twists by: -4 -11 |