Atkin-Lehner |
2- 3- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
41616ci |
Isogeny class |
Conductor |
41616 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
374931001920724992 = 213 · 38 · 178 |
Discriminant |
Eigenvalues |
2- 3- -2 0 4 -2 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1154595171,-15100548367646] |
[a1,a2,a3,a4,a6] |
Generators |
[-339336939646496842432304840826381:78314799524323812380496226570:17297233011439963328709549917] |
Generators of the group modulo torsion |
j |
2361739090258884097/5202 |
j-invariant |
L |
4.8261805665678 |
L(r)(E,1)/r! |
Ω |
0.025899544163331 |
Real period |
R |
46.585574403626 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000009 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
5202b5 13872bi5 2448n5 |
Quadratic twists by: -4 -3 17 |