Atkin-Lehner |
2+ 5+ 7- 43- |
Signs for the Atkin-Lehner involutions |
Class |
48160d |
Isogeny class |
Conductor |
48160 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
-481600000000 = -1 · 212 · 58 · 7 · 43 |
Discriminant |
Eigenvalues |
2+ 0 5+ 7- -4 2 -6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,772,32352] |
[a1,a2,a3,a4,a6] |
Generators |
[-120:22224:125] |
Generators of the group modulo torsion |
j |
12422690496/117578125 |
j-invariant |
L |
4.418261180791 |
L(r)(E,1)/r! |
Ω |
0.68474324522299 |
Real period |
R |
6.4524348529182 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000031 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
48160g2 96320v1 |
Quadratic twists by: -4 8 |