Atkin-Lehner |
3+ 11- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
4719c |
Isogeny class |
Conductor |
4719 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
108679952667 = 3 · 118 · 132 |
Discriminant |
Eigenvalues |
1 3+ 0 0 11- 13+ 4 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-1575,-18762] |
[a1,a2,a3,a4,a6] |
j |
244140625/61347 |
j-invariant |
L |
1.5435317291656 |
L(r)(E,1)/r! |
Ω |
0.77176586458282 |
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 |
75504cg2 14157k2 117975ca2 429a2 |
Quadratic twists by: -4 -3 5 -11 |