Atkin-Lehner |
2- 3+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
204a |
Isogeny class |
Conductor |
204 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
deg |
132 |
Modular degree for the optimal curve |
Δ |
-770943744 = -1 · 28 · 311 · 17 |
Discriminant |
Eigenvalues |
2- 3+ -1 4 3 3 17+ 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-1621,-24623] |
[a1,a2,a3,a4,a6] |
j |
-1841198792704/3011499 |
j-invariant |
L |
1.1284443839955 |
L(r)(E,1)/r! |
Ω |
0.3761481279985 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
816i1 3264l1 612d1 5100o1 |
Quadratic twists by: -4 8 -3 5 |