Atkin-Lehner |
2- 3- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
121104bu |
Isogeny class |
Conductor |
121104 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
deg |
1935360 |
Modular degree for the optimal curve |
Δ |
-2781424151675265024 = -1 · 213 · 39 · 297 |
Discriminant |
Eigenvalues |
2- 3- -1 -1 -6 -4 -7 -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-608043,-199355686] |
[a1,a2,a3,a4,a6] |
Generators |
[3277:181656:1] |
Generators of the group modulo torsion |
j |
-13997521/1566 |
j-invariant |
L |
2.904255216154 |
L(r)(E,1)/r! |
Ω |
0.084948878063748 |
Real period |
R |
0.53419173534318 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999998157907 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
15138u1 40368u1 4176bb1 |
Quadratic twists by: -4 -3 29 |