Atkin-Lehner |
2+ 5+ 43+ |
Signs for the Atkin-Lehner involutions |
Class |
68800r |
Isogeny class |
Conductor |
68800 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
86016 |
Modular degree for the optimal curve |
Δ |
-440320000000 = -1 · 217 · 57 · 43 |
Discriminant |
Eigenvalues |
2+ -2 5+ -3 2 -1 6 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-33,-31937] |
[a1,a2,a3,a4,a6] |
Generators |
[73:600:1] |
Generators of the group modulo torsion |
j |
-2/215 |
j-invariant |
L |
3.8688597751741 |
L(r)(E,1)/r! |
Ω |
0.4297319509667 |
Real period |
R |
2.2507401218114 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000001329 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
68800dl1 8600b1 13760d1 |
Quadratic twists by: -4 8 5 |