Atkin-Lehner |
2+ 5+ 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
42350u |
Isogeny class |
Conductor |
42350 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
1588667256811250000 = 24 · 57 · 72 · 1110 |
Discriminant |
Eigenvalues |
2+ 0 5+ 7- 11- -6 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-63250292,193632103616] |
[a1,a2,a3,a4,a6] |
Generators |
[2929:181548:1] |
Generators of the group modulo torsion |
j |
1010962818911303721/57392720 |
j-invariant |
L |
3.5684815379528 |
L(r)(E,1)/r! |
Ω |
0.20101058983856 |
Real period |
R |
1.1095440110946 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000004 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
8470ba4 3850n3 |
Quadratic twists by: 5 -11 |