Atkin-Lehner |
2+ 5+ 23- 59+ |
Signs for the Atkin-Lehner involutions |
Class |
67850f |
Isogeny class |
Conductor |
67850 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
8640 |
Modular degree for the optimal curve |
Δ |
-542800 = -1 · 24 · 52 · 23 · 59 |
Discriminant |
Eigenvalues |
2+ 0 5+ -1 -6 4 -6 -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-2,36] |
[a1,a2,a3,a4,a6] |
Generators |
[-26:17:8] [0:6:1] |
Generators of the group modulo torsion |
j |
-46305/21712 |
j-invariant |
L |
6.9437400723523 |
L(r)(E,1)/r! |
Ω |
2.3691234741627 |
Real period |
R |
1.4654660569732 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000036 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
67850x1 |
Quadratic twists by: 5 |