Atkin-Lehner |
2- 3+ 37- 43+ |
Signs for the Atkin-Lehner involutions |
Class |
76368i |
Isogeny class |
Conductor |
76368 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
1900800 |
Modular degree for the optimal curve |
Δ |
-8234691929548259328 = -1 · 223 · 315 · 37 · 432 |
Discriminant |
Eigenvalues |
2- 3+ -4 3 -3 -1 5 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,135520,-136767744] |
[a1,a2,a3,a4,a6] |
Generators |
[1840:79616:1] |
Generators of the group modulo torsion |
j |
67200226748534879/2010422834362368 |
j-invariant |
L |
3.9517384893417 |
L(r)(E,1)/r! |
Ω |
0.11241894915139 |
Real period |
R |
4.3939862004821 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999984578 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
9546k1 |
Quadratic twists by: -4 |