Atkin-Lehner |
2+ 3- 5- 43+ |
Signs for the Atkin-Lehner involutions |
Class |
3870i |
Isogeny class |
Conductor |
3870 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
Δ |
655089606000000 = 27 · 311 · 56 · 432 |
Discriminant |
Eigenvalues |
2+ 3- 5- -4 4 4 -4 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-1491984,701818240] |
[a1,a2,a3,a4,a6] |
Generators |
[701:-148:1] |
Generators of the group modulo torsion |
j |
503835593418244309249/898614000000 |
j-invariant |
L |
2.6713034805809 |
L(r)(E,1)/r! |
Ω |
0.43796422818367 |
Real period |
R |
0.50828037784032 |
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 |
30960cc2 123840cj2 1290k2 19350cj2 |
Quadratic twists by: -4 8 -3 5 |