Atkin-Lehner |
2+ 3+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
121104b |
Isogeny class |
Conductor |
121104 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
215040 |
Modular degree for the optimal curve |
Δ |
-7451946565488 = -1 · 24 · 33 · 297 |
Discriminant |
Eigenvalues |
2+ 3+ 0 1 -3 1 -7 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-12615,-560947] |
[a1,a2,a3,a4,a6] |
Generators |
[159964:3342975:343] |
Generators of the group modulo torsion |
j |
-864000/29 |
j-invariant |
L |
5.620860543289 |
L(r)(E,1)/r! |
Ω |
0.22479732304701 |
Real period |
R |
6.2510314091347 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000062382 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
60552a1 121104a1 4176c1 |
Quadratic twists by: -4 -3 29 |