Atkin-Lehner |
2+ 3+ 5+ 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
48510f |
Isogeny class |
Conductor |
48510 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
-83064672585660150 = -1 · 2 · 39 · 52 · 78 · 114 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 7- 11- 6 0 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-102615,-18745525] |
[a1,a2,a3,a4,a6] |
Generators |
[485:6495:1] |
Generators of the group modulo torsion |
j |
-51603494067/35870450 |
j-invariant |
L |
4.1070678501535 |
L(r)(E,1)/r! |
Ω |
0.12939157697954 |
Real period |
R |
1.9838365574334 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999999947 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
48510cf2 6930d2 |
Quadratic twists by: -3 -7 |