Atkin-Lehner |
2+ 11+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
100672a |
Isogeny class |
Conductor |
100672 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
64512 |
Modular degree for the optimal curve |
Δ |
-580592336896 = -1 · 225 · 113 · 13 |
Discriminant |
Eigenvalues |
2+ 0 1 1 11+ 13+ -2 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,2068,5808] |
[a1,a2,a3,a4,a6] |
Generators |
[66:2816:27] |
Generators of the group modulo torsion |
j |
2803221/1664 |
j-invariant |
L |
7.0704844170316 |
L(r)(E,1)/r! |
Ω |
0.56044502226464 |
Real period |
R |
1.5769799244765 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000036714 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
100672ca1 3146j1 100672c1 |
Quadratic twists by: -4 8 -11 |