Atkin-Lehner |
2+ 3- 5- 7- 23- |
Signs for the Atkin-Lehner involutions |
Class |
101430cj |
Isogeny class |
Conductor |
101430 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
294912 |
Modular degree for the optimal curve |
Δ |
-133388617346460 = -1 · 22 · 37 · 5 · 78 · 232 |
Discriminant |
Eigenvalues |
2+ 3- 5- 7- 2 0 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-9,555673] |
[a1,a2,a3,a4,a6] |
Generators |
[-36:731:1] |
Generators of the group modulo torsion |
j |
-1/1555260 |
j-invariant |
L |
5.5315514013204 |
L(r)(E,1)/r! |
Ω |
0.4639985223075 |
Real period |
R |
2.9803712293835 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000028696 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
33810bx1 14490i1 |
Quadratic twists by: -3 -7 |