Atkin-Lehner |
3- 5+ 11- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
42075bf |
Isogeny class |
Conductor |
42075 |
Conductor |
∏ cp |
36 |
Product of Tamagawa factors cp |
Δ |
-3.2988950067534E+21 |
Discriminant |
Eigenvalues |
0 3- 5+ -5 11- 4 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-2172450,-3025770719] |
[a1,a2,a3,a4,a6] |
Generators |
[2335:68062:1] |
Generators of the group modulo torsion |
j |
-99546392709922816/289614925147075 |
j-invariant |
L |
3.5097342668066 |
L(r)(E,1)/r! |
Ω |
0.057550410890077 |
Real period |
R |
1.694038617873 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000016 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
4675h2 8415l2 |
Quadratic twists by: -3 5 |