Atkin-Lehner |
2- 3- 5+ 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
11550cn |
Isogeny class |
Conductor |
11550 |
Conductor |
∏ cp |
125 |
Product of Tamagawa factors cp |
deg |
12000 |
Modular degree for the optimal curve |
Δ |
-35940088800 = -1 · 25 · 35 · 52 · 75 · 11 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7- 11- -6 -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,647,6617] |
[a1,a2,a3,a4,a6] |
Generators |
[8:107:1] |
Generators of the group modulo torsion |
j |
1197993859655/1437603552 |
j-invariant |
L |
8.2515714936954 |
L(r)(E,1)/r! |
Ω |
0.77481246328136 |
Real period |
R |
2.1299532170016 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
5 |
Number of elements in the torsion subgroup |
Twists |
92400do1 34650bd1 11550o2 80850eu1 |
Quadratic twists by: -4 -3 5 -7 |