Atkin-Lehner |
3+ 7- 11- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
37191b |
Isogeny class |
Conductor |
37191 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
35853162038001 = 32 · 76 · 112 · 234 |
Discriminant |
Eigenvalues |
-1 3+ 2 7- 11- 2 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-285132,58483116] |
[a1,a2,a3,a4,a6] |
Generators |
[2414:259:8] |
Generators of the group modulo torsion |
j |
21790813729717297/304746849 |
j-invariant |
L |
3.5287762137346 |
L(r)(E,1)/r! |
Ω |
0.59468005012487 |
Real period |
R |
2.9669535853723 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999997 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
111573bd4 759b3 |
Quadratic twists by: -3 -7 |