Atkin-Lehner |
2- 3- 5+ 11+ |
Signs for the Atkin-Lehner involutions |
Class |
116160hi |
Isogeny class |
Conductor |
116160 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
-5.432711480064E+20 |
Discriminant |
Eigenvalues |
2- 3- 5+ 2 11+ -4 6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-3213921,-2486171745] |
[a1,a2,a3,a4,a6] |
Generators |
[33160044803858269124468991:-1484629023819135781601177500:10251386732641722921603] |
Generators of the group modulo torsion |
j |
-23758298924/3515625 |
j-invariant |
L |
8.5538673012354 |
L(r)(E,1)/r! |
Ω |
0.055920671826548 |
Real period |
R |
38.241078920266 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000003346 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
116160i2 29040l2 116160hl2 |
Quadratic twists by: -4 8 -11 |