Atkin-Lehner |
2+ 3- 5- 23+ 61+ |
Signs for the Atkin-Lehner involutions |
Class |
42090i |
Isogeny class |
Conductor |
42090 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
Δ |
9635471769600 = 214 · 36 · 52 · 232 · 61 |
Discriminant |
Eigenvalues |
2+ 3- 5- -2 -2 -6 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-2819708243,57630528675758] |
[a1,a2,a3,a4,a6] |
Generators |
[210281493:-105148592:6859] |
Generators of the group modulo torsion |
j |
2479340836850199848947636653159721/9635471769600 |
j-invariant |
L |
4.615910331047 |
L(r)(E,1)/r! |
Ω |
0.15496627486663 |
Real period |
R |
2.4822123044797 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000015 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
126270bh2 |
Quadratic twists by: -3 |