Atkin-Lehner |
3+ 5+ 13- 41- |
Signs for the Atkin-Lehner involutions |
Class |
39975i |
Isogeny class |
Conductor |
39975 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
8609740546875 = 3 · 57 · 13 · 414 |
Discriminant |
Eigenvalues |
1 3+ 5+ 0 0 13- 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-26875,1678750] |
[a1,a2,a3,a4,a6] |
Generators |
[3678:72679:8] |
Generators of the group modulo torsion |
j |
137396083834801/551023395 |
j-invariant |
L |
5.5243153145575 |
L(r)(E,1)/r! |
Ω |
0.73745077099076 |
Real period |
R |
7.4910970763977 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000003 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
119925bc3 7995j4 |
Quadratic twists by: -3 5 |