Atkin-Lehner |
2+ 11+ 13+ 53- |
Signs for the Atkin-Lehner involutions |
Class |
121264a |
Isogeny class |
Conductor |
121264 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
1466880 |
Modular degree for the optimal curve |
Δ |
-1.1879603920493E+19 |
Discriminant |
Eigenvalues |
2+ 0 0 0 11+ 13+ -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,499385,95125254] |
[a1,a2,a3,a4,a6] |
Generators |
[16993:2217096:1] [1218:105735:8] |
Generators of the group modulo torsion |
j |
53800984989313182000/46404702814425527 |
j-invariant |
L |
11.473984124087 |
L(r)(E,1)/r! |
Ω |
0.14677693411178 |
Real period |
R |
26.057645885808 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000003677 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
60632b1 |
Quadratic twists by: -4 |