Atkin-Lehner |
2- 5- 7- 11- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
23870p |
Isogeny class |
Conductor |
23870 |
Conductor |
∏ cp |
384 |
Product of Tamagawa factors cp |
Δ |
27577201960000 = 26 · 54 · 72 · 114 · 312 |
Discriminant |
Eigenvalues |
2- 0 5- 7- 11- -2 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-14772,646871] |
[a1,a2,a3,a4,a6] |
Generators |
[-69:1189:1] |
Generators of the group modulo torsion |
j |
356462662338555921/27577201960000 |
j-invariant |
L |
8.7434728844328 |
L(r)(E,1)/r! |
Ω |
0.65148878214117 |
Real period |
R |
0.55919822439208 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
119350d2 |
Quadratic twists by: 5 |