Atkin-Lehner |
2- 11- 47+ |
Signs for the Atkin-Lehner involutions |
Class |
11374h |
Isogeny class |
Conductor |
11374 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
174240 |
Modular degree for the optimal curve |
Δ |
-66944189363005504 = -1 · 26 · 118 · 474 |
Discriminant |
Eigenvalues |
2- 0 3 4 11- -5 -5 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-149821,25594693] |
[a1,a2,a3,a4,a6] |
Generators |
[-443:2430:1] |
Generators of the group modulo torsion |
j |
-1734992444097/312299584 |
j-invariant |
L |
8.3963262827076 |
L(r)(E,1)/r! |
Ω |
0.33440353240454 |
Real period |
R |
2.0923638331842 |
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 |
90992w1 102366u1 11374c1 |
Quadratic twists by: -4 -3 -11 |