Atkin-Lehner |
3- 5+ 17+ 37- |
Signs for the Atkin-Lehner involutions |
Class |
28305g |
Isogeny class |
Conductor |
28305 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
-9.6398953525635E+19 |
Discriminant |
Eigenvalues |
1 3- 5+ -4 -4 -2 17+ -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-3996870,3112652825] |
[a1,a2,a3,a4,a6] |
Generators |
[1768:38743:1] |
Generators of the group modulo torsion |
j |
-9686264265850369562721/132234504150390625 |
j-invariant |
L |
3.2154177714365 |
L(r)(E,1)/r! |
Ω |
0.19037456349015 |
Real period |
R |
2.1112443493553 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
3145c4 |
Quadratic twists by: -3 |