Atkin-Lehner |
2- 11+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
100672ca |
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 |
[26:-256:1] [77:781:1] |
Generators of the group modulo torsion |
j |
2803221/1664 |
j-invariant |
L |
11.400079612432 |
L(r)(E,1)/r! |
Ω |
0.53737837395024 |
Real period |
R |
2.651781353324 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999988297 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
100672a1 25168p1 100672ce1 |
Quadratic twists by: -4 8 -11 |