Atkin-Lehner |
2+ 3- 5- 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
92400df |
Isogeny class |
Conductor |
92400 |
Conductor |
∏ cp |
144 |
Product of Tamagawa factors cp |
Δ |
768718566000000000 = 210 · 33 · 59 · 76 · 112 |
Discriminant |
Eigenvalues |
2+ 3- 5- 7- 11- 0 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-229208,-2204412] |
[a1,a2,a3,a4,a6] |
Generators |
[-392:5250:1] |
Generators of the group modulo torsion |
j |
665863066004/384359283 |
j-invariant |
L |
8.5152830566606 |
L(r)(E,1)/r! |
Ω |
0.23811854901552 |
Real period |
R |
0.99335243398042 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.00000000094 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
46200q2 92400bi2 |
Quadratic twists by: -4 5 |