Atkin-Lehner |
2+ 3+ 5- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
14880d |
Isogeny class |
Conductor |
14880 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
Δ |
160704000000 = 212 · 34 · 56 · 31 |
Discriminant |
Eigenvalues |
2+ 3+ 5- -2 -4 -4 -8 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-1665,18225] |
[a1,a2,a3,a4,a6] |
Generators |
[-35:180:1] [-9:180:1] |
Generators of the group modulo torsion |
j |
124700239936/39234375 |
j-invariant |
L |
5.8227410129202 |
L(r)(E,1)/r! |
Ω |
0.94592156787664 |
Real period |
R |
0.51296897567588 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999988 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
14880s2 29760w1 44640bj2 74400cn2 |
Quadratic twists by: -4 8 -3 5 |