Atkin-Lehner |
2+ 3- 73- |
Signs for the Atkin-Lehner involutions |
Class |
42048v |
Isogeny class |
Conductor |
42048 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
Δ |
1.3326530003475E+23 |
Discriminant |
Eigenvalues |
2+ 3- 0 -4 -6 4 6 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-18823980,-26070731728] |
[a1,a2,a3,a4,a6] |
Generators |
[20344:2830356:1] |
Generators of the group modulo torsion |
j |
3860029467400479625/697348114739712 |
j-invariant |
L |
4.108711444396 |
L(r)(E,1)/r! |
Ω |
0.073381158634676 |
Real period |
R |
4.6659473185866 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000003 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
42048ca4 1314f4 14016m4 |
Quadratic twists by: -4 8 -3 |