Atkin-Lehner |
3- 67- |
Signs for the Atkin-Lehner involutions |
Class |
13467j |
Isogeny class |
Conductor |
13467 |
Conductor |
∏ cp |
10 |
Product of Tamagawa factors cp |
deg |
269280 |
Modular degree for the optimal curve |
Δ |
-1472752920093489 = -1 · 35 · 677 |
Discriminant |
Eigenvalues |
-1 3- 3 3 0 -4 2 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-3566604,-2592867663] |
[a1,a2,a3,a4,a6] |
Generators |
[5219:345176:1] |
Generators of the group modulo torsion |
j |
-55467626237353/16281 |
j-invariant |
L |
4.8062242328247 |
L(r)(E,1)/r! |
Ω |
0.054929522995953 |
Real period |
R |
8.7498015105262 |
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 |
40401m1 201c1 |
Quadratic twists by: -3 -67 |