Atkin-Lehner |
3- 5- 13+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
58305o |
Isogeny class |
Conductor |
58305 |
Conductor |
∏ cp |
432 |
Product of Tamagawa factors cp |
Δ |
1.1427251665551E+23 |
Discriminant |
Eigenvalues |
1 3- 5- 4 -2 13+ -4 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-229561323,-1338660180869] |
[a1,a2,a3,a4,a6] |
j |
277178635539869287560049/23674547025894375 |
j-invariant |
L |
4.1889083313504 |
L(r)(E,1)/r! |
Ω |
0.038786188244755 |
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 |
4485e2 |
Quadratic twists by: 13 |