Atkin-Lehner |
2- 3+ 7- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
17472ch |
Isogeny class |
Conductor |
17472 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
26880 |
Modular degree for the optimal curve |
Δ |
-1364944561344 = -1 · 26 · 314 · 73 · 13 |
Discriminant |
Eigenvalues |
2- 3+ 3 7- 0 13+ -4 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-939,-56979] |
[a1,a2,a3,a4,a6] |
Generators |
[6180:15309:125] |
Generators of the group modulo torsion |
j |
-1432197595648/21327258771 |
j-invariant |
L |
5.3261318816994 |
L(r)(E,1)/r! |
Ω |
0.36662357000652 |
Real period |
R |
2.4212536224393 |
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 |
17472cp1 8736bb1 52416gc1 122304ip1 |
Quadratic twists by: -4 8 -3 -7 |