Atkin-Lehner |
2+ 3- 7- 47+ |
Signs for the Atkin-Lehner involutions |
Class |
41454j |
Isogeny class |
Conductor |
41454 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
286459530268968 = 23 · 39 · 77 · 472 |
Discriminant |
Eigenvalues |
2+ 3- 0 7- 0 -2 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-3555792,2581678840] |
[a1,a2,a3,a4,a6] |
Generators |
[1077:143:1] |
Generators of the group modulo torsion |
j |
57971836400640625/3340008 |
j-invariant |
L |
4.3415783960841 |
L(r)(E,1)/r! |
Ω |
0.4125520426491 |
Real period |
R |
2.6309277056331 |
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 |
13818r2 5922i2 |
Quadratic twists by: -3 -7 |