Atkin-Lehner |
3- 7- 13- 67- |
Signs for the Atkin-Lehner involutions |
Class |
128037l |
Isogeny class |
Conductor |
128037 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
69120 |
Modular degree for the optimal curve |
Δ |
-2766751533 = -1 · 33 · 76 · 13 · 67 |
Discriminant |
Eigenvalues |
-1 3- -2 7- -3 13- 2 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-1324,18605] |
[a1,a2,a3,a4,a6] |
Generators |
[11:68:1] |
Generators of the group modulo torsion |
j |
-2181825073/23517 |
j-invariant |
L |
4.2297220087324 |
L(r)(E,1)/r! |
Ω |
1.4408456959671 |
Real period |
R |
0.48926380562021 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000278056 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
2613a1 |
Quadratic twists by: -7 |