Atkin-Lehner |
2+ 5+ 7- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
10850j |
Isogeny class |
Conductor |
10850 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
829440 |
Modular degree for the optimal curve |
Δ |
-8.9781017536E+22 |
Discriminant |
Eigenvalues |
2+ 0 5+ 7- 4 -4 -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,11177683,961922341] |
[a1,a2,a3,a4,a6] |
j |
9884598436907013225951/5745985122304000000 |
j-invariant |
L |
1.0348426187436 |
L(r)(E,1)/r! |
Ω |
0.064677663671474 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
86800bd1 97650dz1 2170i1 75950u1 |
Quadratic twists by: -4 -3 5 -7 |