Atkin-Lehner |
2+ 3- 7- 89+ |
Signs for the Atkin-Lehner involutions |
Class |
119616o |
Isogeny class |
Conductor |
119616 |
Conductor |
∏ cp |
72 |
Product of Tamagawa factors cp |
Δ |
8719070172021522432 = 218 · 33 · 712 · 89 |
Discriminant |
Eigenvalues |
2+ 3- -2 7- -4 -2 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-977089,-343857505] |
[a1,a2,a3,a4,a6] |
Generators |
[-646:4263:1] |
Generators of the group modulo torsion |
j |
393537938975182513/33260613144003 |
j-invariant |
L |
6.9840129115356 |
L(r)(E,1)/r! |
Ω |
0.15266750513391 |
Real period |
R |
2.5414754686867 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999521674 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
119616r3 1869b3 |
Quadratic twists by: -4 8 |