Atkin-Lehner |
3- 5+ 7- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
37485r |
Isogeny class |
Conductor |
37485 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
553372071738530625 = 312 · 54 · 78 · 172 |
Discriminant |
Eigenvalues |
1 3- 5+ 7- 0 2 17+ 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-1687275,-842400000] |
[a1,a2,a3,a4,a6] |
Generators |
[-4760823450:-2357900525:6434856] |
Generators of the group modulo torsion |
j |
6193921595708449/6452105625 |
j-invariant |
L |
5.902339881423 |
L(r)(E,1)/r! |
Ω |
0.13247387389415 |
Real period |
R |
11.138686648015 |
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 |
12495q2 5355p2 |
Quadratic twists by: -3 -7 |