Atkin-Lehner |
3+ 5+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
38025g |
Isogeny class |
Conductor |
38025 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
16416 |
Modular degree for the optimal curve |
Δ |
-3258096075 = -1 · 33 · 52 · 136 |
Discriminant |
Eigenvalues |
0 3+ 5+ 5 0 13+ 0 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,0,2746] |
[a1,a2,a3,a4,a6] |
Generators |
[-14:1:1] |
Generators of the group modulo torsion |
j |
0 |
j-invariant |
L |
5.9336283475047 |
L(r)(E,1)/r! |
Ω |
1.1240932244169 |
Real period |
R |
2.6392954866277 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999997 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
38025g2 38025t1 225a1 |
Quadratic twists by: -3 5 13 |