Atkin-Lehner |
2- 3- 5- 7+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
115920eq |
Isogeny class |
Conductor |
115920 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
Δ |
5807395585152000000 = 213 · 36 · 56 · 76 · 232 |
Discriminant |
Eigenvalues |
2- 3- 5- 7+ -6 -4 -6 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-24023667,-45321642574] |
[a1,a2,a3,a4,a6] |
Generators |
[-2833:250:1] |
Generators of the group modulo torsion |
j |
513516182162686336369/1944885031250 |
j-invariant |
L |
4.0553480306956 |
L(r)(E,1)/r! |
Ω |
0.068193005000609 |
Real period |
R |
2.4778616935878 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999852441 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
14490y4 12880l4 |
Quadratic twists by: -4 -3 |