Atkin-Lehner |
2- 3- 7+ 19- 29- |
Signs for the Atkin-Lehner involutions |
Class |
23142ba |
Isogeny class |
Conductor |
23142 |
Conductor |
∏ cp |
42 |
Product of Tamagawa factors cp |
deg |
8064 |
Modular degree for the optimal curve |
Δ |
-93308544 = -1 · 27 · 33 · 72 · 19 · 29 |
Discriminant |
Eigenvalues |
2- 3- -1 7+ -3 -5 2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-221,1329] |
[a1,a2,a3,a4,a6] |
Generators |
[-2:43:1] |
Generators of the group modulo torsion |
j |
-1194052296529/93308544 |
j-invariant |
L |
8.2663291273235 |
L(r)(E,1)/r! |
Ω |
1.8662031797481 |
Real period |
R |
0.10546405788513 |
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 |
69426l1 |
Quadratic twists by: -3 |