Atkin-Lehner |
2+ 3+ 7+ 89+ |
Signs for the Atkin-Lehner involutions |
Class |
119616a |
Isogeny class |
Conductor |
119616 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
69120 |
Modular degree for the optimal curve |
Δ |
-17362501632 = -1 · 214 · 35 · 72 · 89 |
Discriminant |
Eigenvalues |
2+ 3+ 2 7+ 2 0 0 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-757,10477] |
[a1,a2,a3,a4,a6] |
Generators |
[-12:133:1] |
Generators of the group modulo torsion |
j |
-2932006912/1059723 |
j-invariant |
L |
6.2283637571005 |
L(r)(E,1)/r! |
Ω |
1.1591533334012 |
Real period |
R |
2.6866004559794 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000014401 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
119616z1 7476a1 |
Quadratic twists by: -4 8 |