Atkin-Lehner |
2- 3- 101- |
Signs for the Atkin-Lehner involutions |
Class |
61206l |
Isogeny class |
Conductor |
61206 |
Conductor |
∏ cp |
368 |
Product of Tamagawa factors cp |
deg |
736000 |
Modular degree for the optimal curve |
Δ |
-56705353135423488 = -1 · 223 · 38 · 1013 |
Discriminant |
Eigenvalues |
2- 3- 0 -3 -6 -2 -7 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-81568,14541824] |
[a1,a2,a3,a4,a6] |
Generators |
[-256:4448:1] [-160:4928:1] |
Generators of the group modulo torsion |
j |
-58253143347125/55037657088 |
j-invariant |
L |
15.407274320726 |
L(r)(E,1)/r! |
Ω |
0.32180759248398 |
Real period |
R |
0.13010132215865 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999963 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
61206f1 |
Quadratic twists by: 101 |