Atkin-Lehner |
2+ 3- 5- 7- 19- |
Signs for the Atkin-Lehner involutions |
Class |
83790cb |
Isogeny class |
Conductor |
83790 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
221184 |
Modular degree for the optimal curve |
Δ |
-36958336861320 = -1 · 23 · 310 · 5 · 77 · 19 |
Discriminant |
Eigenvalues |
2+ 3- 5- 7- 1 -1 -1 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-11034,536220] |
[a1,a2,a3,a4,a6] |
Generators |
[9:657:1] |
Generators of the group modulo torsion |
j |
-1732323601/430920 |
j-invariant |
L |
5.8956446122226 |
L(r)(E,1)/r! |
Ω |
0.6191102044105 |
Real period |
R |
1.1903463584429 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999895915 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
27930dc1 11970m1 |
Quadratic twists by: -3 -7 |