Atkin-Lehner |
2- 3+ 5- 7+ 11+ |
Signs for the Atkin-Lehner involutions |
Class |
11550bw |
Isogeny class |
Conductor |
11550 |
Conductor |
∏ cp |
138 |
Product of Tamagawa factors cp |
deg |
165600 |
Modular degree for the optimal curve |
Δ |
-407991091200000000 = -1 · 223 · 3 · 58 · 73 · 112 |
Discriminant |
Eigenvalues |
2- 3+ 5- 7+ 11+ -1 5 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,36487,-30598969] |
[a1,a2,a3,a4,a6] |
Generators |
[335:4232:1] |
Generators of the group modulo torsion |
j |
13752365416655/1044457193472 |
j-invariant |
L |
5.5887018307428 |
L(r)(E,1)/r! |
Ω |
0.14247255627504 |
Real period |
R |
0.28425010691202 |
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 |
92400ii1 34650bs1 11550x1 80850ha1 |
Quadratic twists by: -4 -3 5 -7 |