Atkin-Lehner |
2+ 3+ 5- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
81600bl |
Isogeny class |
Conductor |
81600 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
1128960 |
Modular degree for the optimal curve |
Δ |
-550130227200000000 = -1 · 217 · 37 · 58 · 173 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 0 -2 6 17+ -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-168833,44625537] |
[a1,a2,a3,a4,a6] |
j |
-10395091970/10744731 |
j-invariant |
L |
1.592998598023 |
L(r)(E,1)/r! |
Ω |
0.26549976071232 |
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 |
81600jd1 10200bk1 81600dl1 |
Quadratic twists by: -4 8 5 |