Atkin-Lehner |
2- 3+ 5+ 47+ |
Signs for the Atkin-Lehner involutions |
Class |
56400bo |
Isogeny class |
Conductor |
56400 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
165888 |
Modular degree for the optimal curve |
Δ |
-43315200000000 = -1 · 218 · 32 · 58 · 47 |
Discriminant |
Eigenvalues |
2- 3+ 5+ -4 -2 -4 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,6592,-242688] |
[a1,a2,a3,a4,a6] |
j |
494913671/676800 |
j-invariant |
L |
1.3657814247747 |
L(r)(E,1)/r! |
Ω |
0.34144535624241 |
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 |
7050bg1 11280v1 |
Quadratic twists by: -4 5 |