Atkin-Lehner |
3- 5+ 11- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
11385h |
Isogeny class |
Conductor |
11385 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
3264 |
Modular degree for the optimal curve |
Δ |
-10144035 = -1 · 36 · 5 · 112 · 23 |
Discriminant |
Eigenvalues |
2 3- 5+ 3 11- 0 3 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-3,153] |
[a1,a2,a3,a4,a6] |
Generators |
[-14:95:8] |
Generators of the group modulo torsion |
j |
-4096/13915 |
j-invariant |
L |
9.1691255553142 |
L(r)(E,1)/r! |
Ω |
1.8379616233457 |
Real period |
R |
1.2471867528201 |
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 |
1265a1 56925z1 125235o1 |
Quadratic twists by: -3 5 -11 |