Atkin-Lehner |
2- 3+ 7- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
84966ct |
Isogeny class |
Conductor |
84966 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
59136 |
Modular degree for the optimal curve |
Δ |
-7096445286 = -1 · 2 · 3 · 72 · 176 |
Discriminant |
Eigenvalues |
2- 3+ 1 7- -5 0 17+ -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-295,-4621] |
[a1,a2,a3,a4,a6] |
Generators |
[429002:5134095:2744] |
Generators of the group modulo torsion |
j |
-2401/6 |
j-invariant |
L |
8.1252111262628 |
L(r)(E,1)/r! |
Ω |
0.53650454193208 |
Real period |
R |
7.5723600521033 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000005004 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
84966dm1 294b1 |
Quadratic twists by: -7 17 |