Atkin-Lehner |
2+ 3- 5+ 23+ 41- |
Signs for the Atkin-Lehner involutions |
Class |
84870a |
Isogeny class |
Conductor |
84870 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
35231658750 = 2 · 36 · 54 · 23 · 412 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 0 -2 4 0 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-2400,-43750] |
[a1,a2,a3,a4,a6] |
Generators |
[-25:25:1] |
Generators of the group modulo torsion |
j |
2097643558401/48328750 |
j-invariant |
L |
4.1863026455923 |
L(r)(E,1)/r! |
Ω |
0.68304225583135 |
Real period |
R |
1.5322268174781 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999995629 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
9430i2 |
Quadratic twists by: -3 |