Atkin-Lehner |
2- 3+ 37- |
Signs for the Atkin-Lehner involutions |
Class |
1776g |
Isogeny class |
Conductor |
1776 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
Δ |
-1244848128 = -1 · 213 · 3 · 373 |
Discriminant |
Eigenvalues |
2- 3+ 0 1 -3 -1 -3 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-2368,45184] |
[a1,a2,a3,a4,a6] |
Generators |
[-24:296:1] |
Generators of the group modulo torsion |
j |
-358667682625/303918 |
j-invariant |
L |
2.5518504750393 |
L(r)(E,1)/r! |
Ω |
1.522822709253 |
Real period |
R |
0.13964475638637 |
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 |
222a2 7104u2 5328t2 44400cf2 |
Quadratic twists by: -4 8 -3 5 |