Atkin-Lehner |
2- 3- 5+ 23- 29- |
Signs for the Atkin-Lehner involutions |
Class |
100050cn |
Isogeny class |
Conductor |
100050 |
Conductor |
∏ cp |
66 |
Product of Tamagawa factors cp |
deg |
1034880 |
Modular degree for the optimal curve |
Δ |
-6210629888062500 = -1 · 22 · 311 · 56 · 23 · 293 |
Discriminant |
Eigenvalues |
2- 3- 5+ -4 -3 -1 -6 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-165313,-26160883] |
[a1,a2,a3,a4,a6] |
Generators |
[698:13745:1] |
Generators of the group modulo torsion |
j |
-31976054253232201/397480312836 |
j-invariant |
L |
9.7682418297113 |
L(r)(E,1)/r! |
Ω |
0.11829636531752 |
Real period |
R |
1.2511260500051 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999987626 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
4002b1 |
Quadratic twists by: 5 |