Atkin-Lehner |
3- 5+ 13- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
58305i |
Isogeny class |
Conductor |
58305 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
138332402325 = 32 · 52 · 133 · 234 |
Discriminant |
Eigenvalues |
1 3- 5+ -2 4 13- -2 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-1304,-2923] |
[a1,a2,a3,a4,a6] |
Generators |
[-9:94:1] |
Generators of the group modulo torsion |
j |
111492995797/62964225 |
j-invariant |
L |
7.8830762152375 |
L(r)(E,1)/r! |
Ω |
0.85619582139395 |
Real period |
R |
2.3017737351147 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000000005 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
58305q2 |
Quadratic twists by: 13 |