Atkin-Lehner |
3- 11- 17+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
48807l |
Isogeny class |
Conductor |
48807 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
133120 |
Modular degree for the optimal curve |
Δ |
-294198546199437 = -1 · 310 · 112 · 175 · 29 |
Discriminant |
Eigenvalues |
1 3- 0 1 11- 5 17+ 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-11007,-934578] |
[a1,a2,a3,a4,a6] |
j |
-202313692752625/403564535253 |
j-invariant |
L |
3.5040233187855 |
L(r)(E,1)/r! |
Ω |
0.21900145739554 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
16269g1 |
Quadratic twists by: -3 |