Atkin-Lehner |
2+ 7+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
7406d |
Isogeny class |
Conductor |
7406 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
14507517122 = 2 · 72 · 236 |
Discriminant |
Eigenvalues |
2+ -2 0 7+ 0 -4 -6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-5566,-160170] |
[a1,a2,a3,a4,a6] |
Generators |
[-44:25:1] [320:5394:1] |
Generators of the group modulo torsion |
j |
128787625/98 |
j-invariant |
L |
3.0846358842935 |
L(r)(E,1)/r! |
Ω |
0.55276805836036 |
Real period |
R |
2.790171969635 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
59248bb2 66654bi2 51842e2 14a6 |
Quadratic twists by: -4 -3 -7 -23 |