Atkin-Lehner |
3- 5+ 7- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
37485u |
Isogeny class |
Conductor |
37485 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
8368898615798765625 = 38 · 56 · 710 · 172 |
Discriminant |
Eigenvalues |
-1 3- 5+ 7- 0 2 17+ 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-510908,19740606] |
[a1,a2,a3,a4,a6] |
Generators |
[-682:7455:1] |
Generators of the group modulo torsion |
j |
171963096231529/97578140625 |
j-invariant |
L |
3.5379494614512 |
L(r)(E,1)/r! |
Ω |
0.20005275076925 |
Real period |
R |
4.4212706996624 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999985 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
12495f2 5355r2 |
Quadratic twists by: -3 -7 |