Atkin-Lehner |
2- 3+ 5+ 7+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
48300d |
Isogeny class |
Conductor |
48300 |
Conductor |
∏ cp |
9 |
Product of Tamagawa factors cp |
Δ |
-80126995200 = -1 · 28 · 3 · 52 · 73 · 233 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7+ 0 4 -6 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,947,7417] |
[a1,a2,a3,a4,a6] |
Generators |
[11:138:1] |
Generators of the group modulo torsion |
j |
14660034560/12519843 |
j-invariant |
L |
4.3759309187563 |
L(r)(E,1)/r! |
Ω |
0.70327065169523 |
Real period |
R |
0.69136191785898 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999698 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
48300bb2 |
Quadratic twists by: 5 |