Atkin-Lehner |
2+ 5- 7- 11+ |
Signs for the Atkin-Lehner involutions |
Class |
123200dd |
Isogeny class |
Conductor |
123200 |
Conductor |
∏ cp |
72 |
Product of Tamagawa factors cp |
Δ |
-1.9956257156104E+20 |
Discriminant |
Eigenvalues |
2+ 2 5- 7- 11+ 1 0 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,632767,-651683263] |
[a1,a2,a3,a4,a6] |
Generators |
[3952:252105:1] |
Generators of the group modulo torsion |
j |
171015136702175/1218033273688 |
j-invariant |
L |
10.679164279734 |
L(r)(E,1)/r! |
Ω |
0.0889249615394 |
Real period |
R |
1.667942536283 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000014734 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
123200he2 3850bb2 123200e2 |
Quadratic twists by: -4 8 5 |