Atkin-Lehner |
2- 3- 5+ 73+ |
Signs for the Atkin-Lehner involutions |
Class |
21900g |
Isogeny class |
Conductor |
21900 |
Conductor |
∏ cp |
33 |
Product of Tamagawa factors cp |
deg |
258720 |
Modular degree for the optimal curve |
Δ |
-51726924000000 = -1 · 28 · 311 · 56 · 73 |
Discriminant |
Eigenvalues |
2- 3- 5+ 4 0 -4 -3 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-1222133,519619863] |
[a1,a2,a3,a4,a6] |
Generators |
[649:486:1] |
Generators of the group modulo torsion |
j |
-50468394519494656/12931731 |
j-invariant |
L |
7.0283788748215 |
L(r)(E,1)/r! |
Ω |
0.50470318421549 |
Real period |
R |
0.42199293502765 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
87600bi1 65700f1 876a1 |
Quadratic twists by: -4 -3 5 |