Atkin-Lehner |
3- 5- 13- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
58305q |
Isogeny class |
Conductor |
58305 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
667704084533930925 = 32 · 52 · 139 · 234 |
Discriminant |
Eigenvalues |
-1 3- 5- 2 -4 13- -2 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-220295,-6200988] |
[a1,a2,a3,a4,a6] |
j |
111492995797/62964225 |
j-invariant |
L |
0.94986397950622 |
L(r)(E,1)/r! |
Ω |
0.23746599506722 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
58305i2 |
Quadratic twists by: 13 |