Atkin-Lehner |
2- 19+ 83- |
Signs for the Atkin-Lehner involutions |
Class |
100928z |
Isogeny class |
Conductor |
100928 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
211968 |
Modular degree for the optimal curve |
Δ |
-774171049984 = -1 · 214 · 193 · 832 |
Discriminant |
Eigenvalues |
2- -2 -1 -5 -3 4 -3 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-10341,-410429] |
[a1,a2,a3,a4,a6] |
Generators |
[230:3071:1] |
Generators of the group modulo torsion |
j |
-7465061395456/47251651 |
j-invariant |
L |
1.6362096223121 |
L(r)(E,1)/r! |
Ω |
0.23662528184193 |
Real period |
R |
3.4573855138854 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999998716143 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
100928j1 25232b1 |
Quadratic twists by: -4 8 |