Atkin-Lehner |
2- 3+ 7+ 13+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
126672ba |
Isogeny class |
Conductor |
126672 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
518284134531072 = 214 · 310 · 72 · 13 · 292 |
Discriminant |
Eigenvalues |
2- 3+ -4 7+ 4 13+ -6 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-215080,-38305424] |
[a1,a2,a3,a4,a6] |
Generators |
[1924:81648:1] |
Generators of the group modulo torsion |
j |
268637023475732521/126534212532 |
j-invariant |
L |
3.9727265385513 |
L(r)(E,1)/r! |
Ω |
0.22169793958033 |
Real period |
R |
2.2399433251677 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999466868 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
15834i2 |
Quadratic twists by: -4 |