Atkin-Lehner |
2+ 3+ 7- 13- |
Signs for the Atkin-Lehner involutions |
Class |
17472p |
Isogeny class |
Conductor |
17472 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
64512 |
Modular degree for the optimal curve |
Δ |
1972518912 = 214 · 33 · 73 · 13 |
Discriminant |
Eigenvalues |
2+ 3+ -2 7- -4 13- 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-160529,-24702447] |
[a1,a2,a3,a4,a6] |
Generators |
[1369:48160:1] |
Generators of the group modulo torsion |
j |
27923315228972368/120393 |
j-invariant |
L |
3.3588631474908 |
L(r)(E,1)/r! |
Ω |
0.23851239549888 |
Real period |
R |
4.6941839094853 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
17472ct1 2184l1 52416da1 122304di1 |
Quadratic twists by: -4 8 -3 -7 |