Atkin-Lehner |
2+ 3+ 5- 7- |
Signs for the Atkin-Lehner involutions |
Class |
47040bb |
Isogeny class |
Conductor |
47040 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
3187704360960000 = 215 · 33 · 54 · 78 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 7- 0 2 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-2767585,-1771221983] |
[a1,a2,a3,a4,a6] |
Generators |
[-723524256:34371875:753571] |
Generators of the group modulo torsion |
j |
608119035935048/826875 |
j-invariant |
L |
5.4595412770369 |
L(r)(E,1)/r! |
Ω |
0.117050786178 |
Real period |
R |
11.660624963093 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000017 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
47040db4 23520m4 6720s4 |
Quadratic twists by: -4 8 -7 |