Atkin-Lehner |
2- 3- 17+ 37+ |
Signs for the Atkin-Lehner involutions |
Class |
11322p |
Isogeny class |
Conductor |
11322 |
Conductor |
∏ cp |
40 |
Product of Tamagawa factors cp |
deg |
76800 |
Modular degree for the optimal curve |
Δ |
-8012877813863424 = -1 · 210 · 316 · 173 · 37 |
Discriminant |
Eigenvalues |
2- 3- -1 -1 1 0 17+ 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-289058,-59899615] |
[a1,a2,a3,a4,a6] |
Generators |
[849:17071:1] |
Generators of the group modulo torsion |
j |
-3663951832329237721/10991601939456 |
j-invariant |
L |
6.3689409488777 |
L(r)(E,1)/r! |
Ω |
0.1029308134214 |
Real period |
R |
1.5468985275583 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
90576x1 3774j1 |
Quadratic twists by: -4 -3 |