Atkin-Lehner |
2- 3- 5+ 89+ |
Signs for the Atkin-Lehner involutions |
Class |
13350q |
Isogeny class |
Conductor |
13350 |
Conductor |
∏ cp |
22 |
Product of Tamagawa factors cp |
deg |
4224 |
Modular degree for the optimal curve |
Δ |
-41011200 = -1 · 211 · 32 · 52 · 89 |
Discriminant |
Eigenvalues |
2- 3- 5+ -3 5 -2 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-83,417] |
[a1,a2,a3,a4,a6] |
Generators |
[-2:25:1] |
Generators of the group modulo torsion |
j |
-2531307865/1640448 |
j-invariant |
L |
8.0782598857927 |
L(r)(E,1)/r! |
Ω |
1.8826772096592 |
Real period |
R |
0.19503801782296 |
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 |
106800bb1 40050p1 13350c1 |
Quadratic twists by: -4 -3 5 |