Atkin-Lehner |
2- 3- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
121104cf |
Isogeny class |
Conductor |
121104 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
8386560 |
Modular degree for the optimal curve |
Δ |
-1.2658570361402E+21 |
Discriminant |
Eigenvalues |
2- 3- -3 3 -6 0 7 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-6844899,-7102223134] |
[a1,a2,a3,a4,a6] |
Generators |
[1044841:6070338:343] |
Generators of the group modulo torsion |
j |
-19968681097/712704 |
j-invariant |
L |
5.1300563913769 |
L(r)(E,1)/r! |
Ω |
0.046571271667901 |
Real period |
R |
6.8846848106146 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999313241 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
15138j1 40368x1 4176ba1 |
Quadratic twists by: -4 -3 29 |