Atkin-Lehner |
2- 5- 11+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
78650cw |
Isogeny class |
Conductor |
78650 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
2027520 |
Modular degree for the optimal curve |
Δ |
-6226455621546875000 = -1 · 23 · 59 · 119 · 132 |
Discriminant |
Eigenvalues |
2- -1 5- 3 11+ 13+ -7 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-689763,250772281] |
[a1,a2,a3,a4,a6] |
Generators |
[-71:17338:1] |
Generators of the group modulo torsion |
j |
-7880599/1352 |
j-invariant |
L |
8.3060795691479 |
L(r)(E,1)/r! |
Ω |
0.22950583968388 |
Real period |
R |
1.5079644555308 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000003885 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
78650z1 78650bb1 |
Quadratic twists by: 5 -11 |