Atkin-Lehner |
2- 3- 7+ 53+ |
Signs for the Atkin-Lehner involutions |
Class |
35616w |
Isogeny class |
Conductor |
35616 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
219648 |
Modular degree for the optimal curve |
Δ |
-3863285171859456 = -1 · 212 · 32 · 711 · 53 |
Discriminant |
Eigenvalues |
2- 3- -3 7+ 3 -6 6 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,28643,2346539] |
[a1,a2,a3,a4,a6] |
Generators |
[-47:948:1] |
Generators of the group modulo torsion |
j |
634459801098752/943184856411 |
j-invariant |
L |
5.1675556845591 |
L(r)(E,1)/r! |
Ω |
0.29949421372757 |
Real period |
R |
4.3135688835545 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999994 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
35616f1 71232i1 106848m1 |
Quadratic twists by: -4 8 -3 |