Atkin-Lehner |
2+ 5- 43- |
Signs for the Atkin-Lehner involutions |
Class |
2150i |
Isogeny class |
Conductor |
2150 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
1200 |
Modular degree for the optimal curve |
Δ |
-36980000 = -1 · 25 · 54 · 432 |
Discriminant |
Eigenvalues |
2+ -3 5- 0 3 0 -7 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,83,-59] |
[a1,a2,a3,a4,a6] |
Generators |
[5:19:1] |
Generators of the group modulo torsion |
j |
100491975/59168 |
j-invariant |
L |
1.4145921410254 |
L(r)(E,1)/r! |
Ω |
1.2064885897922 |
Real period |
R |
0.58624348087245 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
17200bb1 68800ca1 19350ct1 2150k1 |
Quadratic twists by: -4 8 -3 5 |