Atkin-Lehner |
2+ 3+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
121104a |
Isogeny class |
Conductor |
121104 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
645120 |
Modular degree for the optimal curve |
Δ |
-5432469046240752 = -1 · 24 · 39 · 297 |
Discriminant |
Eigenvalues |
2+ 3+ 0 1 3 1 7 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-113535,15145569] |
[a1,a2,a3,a4,a6] |
Generators |
[3480:204363:1] |
Generators of the group modulo torsion |
j |
-864000/29 |
j-invariant |
L |
7.8677441482564 |
L(r)(E,1)/r! |
Ω |
0.42661217918449 |
Real period |
R |
2.3052975791043 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999455159 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
60552m1 121104b1 4176a1 |
Quadratic twists by: -4 -3 29 |