Atkin-Lehner |
2- 5+ 17+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
83810u |
Isogeny class |
Conductor |
83810 |
Conductor |
∏ cp |
20 |
Product of Tamagawa factors cp |
deg |
69120 |
Modular degree for the optimal curve |
Δ |
-1244410880 = -1 · 210 · 5 · 172 · 292 |
Discriminant |
Eigenvalues |
2- -1 5+ -1 -4 -2 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-3746,86703] |
[a1,a2,a3,a4,a6] |
Generators |
[-71:67:1] [9:227:1] |
Generators of the group modulo torsion |
j |
-20115759490561/4305920 |
j-invariant |
L |
11.737642647748 |
L(r)(E,1)/r! |
Ω |
1.4915338311201 |
Real period |
R |
0.39347557536547 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000176 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
83810bm1 |
Quadratic twists by: 17 |