Atkin-Lehner |
2+ 5+ 13+ 47+ |
Signs for the Atkin-Lehner involutions |
Class |
48880a |
Isogeny class |
Conductor |
48880 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
391040000 = 210 · 54 · 13 · 47 |
Discriminant |
Eigenvalues |
2+ 0 5+ 0 0 13+ 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-13043,-573342] |
[a1,a2,a3,a4,a6] |
Generators |
[-48103110:-418319:729000] |
Generators of the group modulo torsion |
j |
239638304574756/381875 |
j-invariant |
L |
4.739477549443 |
L(r)(E,1)/r! |
Ω |
0.44674039372974 |
Real period |
R |
10.609019502018 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000053 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
24440a4 |
Quadratic twists by: -4 |