Atkin-Lehner |
2+ 3- 5- 7+ 11+ |
Signs for the Atkin-Lehner involutions |
Class |
11550bb |
Isogeny class |
Conductor |
11550 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
2016 |
Modular degree for the optimal curve |
Δ |
-1155000 = -1 · 23 · 3 · 54 · 7 · 11 |
Discriminant |
Eigenvalues |
2+ 3- 5- 7+ 11+ -4 4 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-1,-52] |
[a1,a2,a3,a4,a6] |
Generators |
[18:67:1] |
Generators of the group modulo torsion |
j |
-25/1848 |
j-invariant |
L |
3.7865546824778 |
L(r)(E,1)/r! |
Ω |
1.2534290057357 |
Real period |
R |
3.0209566438548 |
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 |
92400ft1 34650ee1 11550br1 80850bd1 |
Quadratic twists by: -4 -3 5 -7 |