Atkin-Lehner |
2- 3- 5+ 7- 59- |
Signs for the Atkin-Lehner involutions |
Class |
37170bd |
Isogeny class |
Conductor |
37170 |
Conductor |
∏ cp |
384 |
Product of Tamagawa factors cp |
Δ |
-1.4755546521324E+19 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7- 2 -2 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,507937,-121542969] |
[a1,a2,a3,a4,a6] |
Generators |
[875:-31938:1] |
Generators of the group modulo torsion |
j |
19880464812965126999/20240804556000000 |
j-invariant |
L |
8.8798966720636 |
L(r)(E,1)/r! |
Ω |
0.1205409423573 |
Real period |
R |
0.76736519441784 |
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 |
12390f2 |
Quadratic twists by: -3 |