Atkin-Lehner |
3- 5+ 7- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
37485r |
Isogeny class |
Conductor |
37485 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
2362983138578475 = 39 · 52 · 710 · 17 |
Discriminant |
Eigenvalues |
1 3- 5+ 7- 0 2 17+ 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-26989650,-53962206075] |
[a1,a2,a3,a4,a6] |
Generators |
[3942817771899060:304863871879373661:415160936000] |
Generators of the group modulo torsion |
j |
25351269426118370449/27551475 |
j-invariant |
L |
5.902339881423 |
L(r)(E,1)/r! |
Ω |
0.066236936947076 |
Real period |
R |
22.27737329603 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
12495q4 5355p4 |
Quadratic twists by: -3 -7 |