Atkin-Lehner |
2- 3- 5+ 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
127050hz |
Isogeny class |
Conductor |
127050 |
Conductor |
∏ cp |
960 |
Product of Tamagawa factors cp |
deg |
132710400 |
Modular degree for the optimal curve |
Δ |
-2.4360779587467E+28 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7- 11- -2 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-1006871313,-14408893399383] |
[a1,a2,a3,a4,a6] |
Generators |
[77322:19197339:1] |
Generators of the group modulo torsion |
j |
-4078208988807294650401/880065599546327040 |
j-invariant |
L |
14.704585558486 |
L(r)(E,1)/r! |
Ω |
0.01324779773834 |
Real period |
R |
4.6248521795959 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000040589 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
25410m1 11550s1 |
Quadratic twists by: 5 -11 |