Atkin-Lehner |
2+ 3- 5- 89+ |
Signs for the Atkin-Lehner involutions |
Class |
13350j |
Isogeny class |
Conductor |
13350 |
Conductor |
∏ cp |
18 |
Product of Tamagawa factors cp |
deg |
11520 |
Modular degree for the optimal curve |
Δ |
-50688281250 = -1 · 2 · 36 · 58 · 89 |
Discriminant |
Eigenvalues |
2+ 3- 5- 1 1 -2 2 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,924,-452] |
[a1,a2,a3,a4,a6] |
Generators |
[2:36:1] |
Generators of the group modulo torsion |
j |
223694375/129762 |
j-invariant |
L |
4.5410593440271 |
L(r)(E,1)/r! |
Ω |
0.66804219858373 |
Real period |
R |
0.37764242319275 |
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 |
106800bl1 40050bm1 13350k1 |
Quadratic twists by: -4 -3 5 |