Atkin-Lehner |
2+ 3- 7+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
17472bd |
Isogeny class |
Conductor |
17472 |
Conductor |
∏ cp |
140 |
Product of Tamagawa factors cp |
deg |
913920 |
Modular degree for the optimal curve |
Δ |
-1.9530503194245E+20 |
Discriminant |
Eigenvalues |
2+ 3- -3 7+ -1 13- 7 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-6430977,-6315217569] |
[a1,a2,a3,a4,a6] |
Generators |
[9963:958464:1] |
Generators of the group modulo torsion |
j |
-112205650221491190337/745029571313664 |
j-invariant |
L |
4.6249468725317 |
L(r)(E,1)/r! |
Ω |
0.047383596102325 |
Real period |
R |
0.69718927057495 |
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 |
17472ck1 546e1 52416ce1 122304be1 |
Quadratic twists by: -4 8 -3 -7 |