Atkin-Lehner |
2+ 3- 7+ 89- |
Signs for the Atkin-Lehner involutions |
Class |
119616j |
Isogeny class |
Conductor |
119616 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
27136 |
Modular degree for the optimal curve |
Δ |
-41028288 = -1 · 26 · 3 · 74 · 89 |
Discriminant |
Eigenvalues |
2+ 3- 0 7+ 0 -4 6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-183,-1065] |
[a1,a2,a3,a4,a6] |
Generators |
[69810:224567:3375] |
Generators of the group modulo torsion |
j |
-10648000000/641067 |
j-invariant |
L |
8.8367900809826 |
L(r)(E,1)/r! |
Ω |
0.64646790314214 |
Real period |
R |
6.8346704072618 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999856081 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
119616e1 59808a1 |
Quadratic twists by: -4 8 |