Atkin-Lehner |
2+ 5- 7+ 73- |
Signs for the Atkin-Lehner involutions |
Class |
102200j |
Isogeny class |
Conductor |
102200 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
387072 |
Modular degree for the optimal curve |
Δ |
-6361205984000 = -1 · 28 · 53 · 7 · 734 |
Discriminant |
Eigenvalues |
2+ -3 5- 7+ 3 -1 5 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-19540,-1058300] |
[a1,a2,a3,a4,a6] |
Generators |
[170:730:1] |
Generators of the group modulo torsion |
j |
-25783828982784/198787687 |
j-invariant |
L |
4.1055867885876 |
L(r)(E,1)/r! |
Ω |
0.20180805351386 |
Real period |
R |
0.63575058005198 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000004892 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
102200y1 |
Quadratic twists by: 5 |