Atkin-Lehner |
2- 5+ 83+ |
Signs for the Atkin-Lehner involutions |
Class |
33200q |
Isogeny class |
Conductor |
33200 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
16128 |
Modular degree for the optimal curve |
Δ |
-135987200 = -1 · 216 · 52 · 83 |
Discriminant |
Eigenvalues |
2- 0 5+ -3 -3 -2 -5 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-2995,63090] |
[a1,a2,a3,a4,a6] |
Generators |
[-41:342:1] [9:192:1] |
Generators of the group modulo torsion |
j |
-29014442865/1328 |
j-invariant |
L |
7.5920657609244 |
L(r)(E,1)/r! |
Ω |
1.7357907297266 |
Real period |
R |
1.0934592561918 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999983 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
4150a1 33200bk1 |
Quadratic twists by: -4 5 |