Atkin-Lehner |
2+ 5- 23- 41+ |
Signs for the Atkin-Lehner involutions |
Class |
37720h |
Isogeny class |
Conductor |
37720 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
Δ |
13984306885504000 = 210 · 53 · 23 · 416 |
Discriminant |
Eigenvalues |
2+ 0 5- -2 0 4 6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-84307,7510206] |
[a1,a2,a3,a4,a6] |
Generators |
[482:8880:1] |
Generators of the group modulo torsion |
j |
64716446413703844/13656549692875 |
j-invariant |
L |
5.8591084827992 |
L(r)(E,1)/r! |
Ω |
0.37471752532308 |
Real period |
R |
5.2120224674546 |
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 |
75440f2 |
Quadratic twists by: -4 |