Atkin-Lehner |
2+ 5+ 7+ 43- |
Signs for the Atkin-Lehner involutions |
Class |
96320f |
Isogeny class |
Conductor |
96320 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
54272 |
Modular degree for the optimal curve |
Δ |
-1325363200 = -1 · 212 · 52 · 7 · 432 |
Discriminant |
Eigenvalues |
2+ -2 5+ 7+ -4 4 -6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,119,1719] |
[a1,a2,a3,a4,a6] |
Generators |
[-5:32:1] [-1:40:1] |
Generators of the group modulo torsion |
j |
45118016/323575 |
j-invariant |
L |
7.1210328031511 |
L(r)(E,1)/r! |
Ω |
1.1101083130152 |
Real period |
R |
1.6036797308738 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000735 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
96320h1 48160e1 |
Quadratic twists by: -4 8 |