Atkin-Lehner |
2+ 3- 5- 7- 19- |
Signs for the Atkin-Lehner involutions |
Class |
75810bu |
Isogeny class |
Conductor |
75810 |
Conductor |
∏ cp |
256 |
Product of Tamagawa factors cp |
Δ |
-1688028263036718750 = -1 · 2 · 38 · 58 · 7 · 196 |
Discriminant |
Eigenvalues |
2+ 3- 5- 7- 4 2 2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-353788,102282656] |
[a1,a2,a3,a4,a6] |
Generators |
[-350:13712:1] |
Generators of the group modulo torsion |
j |
-104094944089921/35880468750 |
j-invariant |
L |
7.4260249466046 |
L(r)(E,1)/r! |
Ω |
0.25069272052256 |
Real period |
R |
0.46284407272776 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000001796 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
210c6 |
Quadratic twists by: -19 |