Atkin-Lehner |
3+ 5+ 7- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
37485b |
Isogeny class |
Conductor |
37485 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
160652650725 = 33 · 52 · 77 · 172 |
Discriminant |
Eigenvalues |
-1 3+ 5+ 7- 0 0 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-5228,145506] |
[a1,a2,a3,a4,a6] |
Generators |
[-642:1983:8] [30:107:1] |
Generators of the group modulo torsion |
j |
4973940243/50575 |
j-invariant |
L |
5.6005175328501 |
L(r)(E,1)/r! |
Ω |
1.0272543695362 |
Real period |
R |
0.68149108182639 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000002 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
37485o2 5355b2 |
Quadratic twists by: -3 -7 |