Atkin-Lehner |
2- 3- 5- 7+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
127680fz |
Isogeny class |
Conductor |
127680 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
368640 |
Modular degree for the optimal curve |
Δ |
1330250040000 = 26 · 36 · 54 · 74 · 19 |
Discriminant |
Eigenvalues |
2- 3- 5- 7+ -2 -2 6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-60600,5721498] |
[a1,a2,a3,a4,a6] |
Generators |
[1098:735:8] |
Generators of the group modulo torsion |
j |
384564133520985664/20785156875 |
j-invariant |
L |
8.999221811921 |
L(r)(E,1)/r! |
Ω |
0.81037311344379 |
Real period |
R |
0.92541957792139 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000085226 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
127680ep1 63840bb2 |
Quadratic twists by: -4 8 |