Atkin-Lehner |
2+ 5- 7+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
123200cy |
Isogeny class |
Conductor |
123200 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
-1.4577181696E+19 |
Discriminant |
Eigenvalues |
2+ 0 5- 7+ 11- 6 -4 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-543500,-239850000] |
[a1,a2,a3,a4,a6] |
Generators |
[12646350:1664108000:729] |
Generators of the group modulo torsion |
j |
-34677868581/28471058 |
j-invariant |
L |
6.4665223536029 |
L(r)(E,1)/r! |
Ω |
0.084950894719305 |
Real period |
R |
9.5150887447417 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999010406 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
123200hl2 3850i2 123200do2 |
Quadratic twists by: -4 8 5 |