Atkin-Lehner |
2+ 3+ 5- 19- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
82650k |
Isogeny class |
Conductor |
82650 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
5328000 |
Modular degree for the optimal curve |
Δ |
-146141936625000000 = -1 · 26 · 3 · 59 · 19 · 295 |
Discriminant |
Eigenvalues |
2+ 3+ 5- -3 2 1 2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-31911950,-69400303500] |
[a1,a2,a3,a4,a6] |
Generators |
[1327018867442785660:-23040065488235494314:199535027462875] |
Generators of the group modulo torsion |
j |
-1840152105389754153269/74824671552 |
j-invariant |
L |
3.8255832570187 |
L(r)(E,1)/r! |
Ω |
0.031760053144886 |
Real period |
R |
30.113167943759 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
82650cx1 |
Quadratic twists by: 5 |