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 |
deg |
1920 |
Modular degree for the optimal curve |
Δ |
-2279999007 = -1 · 32 · 117 · 13 |
Discriminant |
Eigenvalues |
1 3+ 0 0 11- 13+ 4 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,240,-1701] |
[a1,a2,a3,a4,a6] |
j |
857375/1287 |
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 |
75504cg1 14157k1 117975ca1 429a1 |
Quadratic twists by: -4 -3 5 -11 |