Atkin-Lehner |
3- 5+ 7+ 11+ 37- |
Signs for the Atkin-Lehner involutions |
Class |
42735g |
Isogeny class |
Conductor |
42735 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
Δ |
-10076171846895 = -1 · 312 · 5 · 7 · 114 · 37 |
Discriminant |
Eigenvalues |
-1 3- 5+ 7+ 11+ 2 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,5069,63896] |
[a1,a2,a3,a4,a6] |
Generators |
[8:320:1] |
Generators of the group modulo torsion |
j |
14404070256689231/10076171846895 |
j-invariant |
L |
4.0591307940386 |
L(r)(E,1)/r! |
Ω |
0.45842869672845 |
Real period |
R |
1.4757405106493 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000002 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
128205bd3 |
Quadratic twists by: -3 |