Atkin-Lehner |
2+ 3- 11- 13- 17- |
Signs for the Atkin-Lehner involutions |
Class |
14586h |
Isogeny class |
Conductor |
14586 |
Conductor |
∏ cp |
216 |
Product of Tamagawa factors cp |
deg |
152064 |
Modular degree for the optimal curve |
Δ |
37528570137307392 = 28 · 33 · 113 · 132 · 176 |
Discriminant |
Eigenvalues |
2+ 3- 0 -4 11- 13- 17- 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-100326,7911736] |
[a1,a2,a3,a4,a6] |
Generators |
[-340:1827:1] |
Generators of the group modulo torsion |
j |
111675519439697265625/37528570137307392 |
j-invariant |
L |
3.76014508499 |
L(r)(E,1)/r! |
Ω |
0.33616676498245 |
Real period |
R |
1.8642260710426 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
6 |
Number of elements in the torsion subgroup |
Twists |
116688m1 43758t1 |
Quadratic twists by: -4 -3 |