Atkin-Lehner |
2+ 5+ 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
42350u |
Isogeny class |
Conductor |
42350 |
Conductor |
∏ cp |
128 |
Product of Tamagawa factors cp |
Δ |
5.14675673281E+19 |
Discriminant |
Eigenvalues |
2+ 0 5+ 7- 11- -6 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-3960292,3014753616] |
[a1,a2,a3,a4,a6] |
Generators |
[729:22323:1] |
Generators of the group modulo torsion |
j |
248158561089321/1859334400 |
j-invariant |
L |
3.5684815379528 |
L(r)(E,1)/r! |
Ω |
0.20101058983856 |
Real period |
R |
2.2190880221892 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000004 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
8470ba2 3850n2 |
Quadratic twists by: 5 -11 |