Atkin-Lehner |
3- 5- 7- 17- |
Signs for the Atkin-Lehner involutions |
Class |
37485bt |
Isogeny class |
Conductor |
37485 |
Conductor |
∏ cp |
128 |
Product of Tamagawa factors cp |
Δ |
61485785748725625 = 310 · 54 · 78 · 172 |
Discriminant |
Eigenvalues |
1 3- 5- 7- -4 -6 17- 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-163179,22432360] |
[a1,a2,a3,a4,a6] |
Generators |
[-264:6992:1] |
Generators of the group modulo torsion |
j |
5602762882081/716900625 |
j-invariant |
L |
6.026862828543 |
L(r)(E,1)/r! |
Ω |
0.33776820504623 |
Real period |
R |
2.2303989609227 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
12495a2 5355d2 |
Quadratic twists by: -3 -7 |