Atkin-Lehner |
2+ 3+ 5- 7- |
Signs for the Atkin-Lehner involutions |
Class |
47040bd |
Isogeny class |
Conductor |
47040 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
7228354560000 = 215 · 3 · 54 · 76 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 7- 0 2 -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-7905,-234975] |
[a1,a2,a3,a4,a6] |
Generators |
[-40:125:1] |
Generators of the group modulo torsion |
j |
14172488/1875 |
j-invariant |
L |
5.2247167330314 |
L(r)(E,1)/r! |
Ω |
0.51073833239867 |
Real period |
R |
2.5574332302875 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999988 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
47040dd3 23520n3 960f4 |
Quadratic twists by: -4 8 -7 |