Atkin-Lehner |
2+ 3- 11+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
2574j |
Isogeny class |
Conductor |
2574 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
243432564899238 = 2 · 318 · 11 · 134 |
Discriminant |
Eigenvalues |
2+ 3- 2 0 11+ 13- -6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-24156,-1228766] |
[a1,a2,a3,a4,a6] |
Generators |
[-67:326:1] |
Generators of the group modulo torsion |
j |
2138362647385537/333926700822 |
j-invariant |
L |
2.694329416943 |
L(r)(E,1)/r! |
Ω |
0.38697841078426 |
Real period |
R |
1.7406199815402 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
20592bt3 82368bv3 858h3 64350dk3 |
Quadratic twists by: -4 8 -3 5 |