Atkin-Lehner |
2+ 3- 5- 7- 19- |
Signs for the Atkin-Lehner involutions |
Class |
83790ck |
Isogeny class |
Conductor |
83790 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
221184 |
Modular degree for the optimal curve |
Δ |
-10559524817520 = -1 · 24 · 310 · 5 · 76 · 19 |
Discriminant |
Eigenvalues |
2+ 3- 5- 7- 4 2 -2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-4419,194053] |
[a1,a2,a3,a4,a6] |
Generators |
[-1:446:1] |
Generators of the group modulo torsion |
j |
-111284641/123120 |
j-invariant |
L |
6.0062192372531 |
L(r)(E,1)/r! |
Ω |
0.65487129702393 |
Real period |
R |
2.2929006289009 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000003449 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
27930ch1 1710d1 |
Quadratic twists by: -3 -7 |