Atkin-Lehner |
3- 5- 7- 11+ |
Signs for the Atkin-Lehner involutions |
Class |
17325bq |
Isogeny class |
Conductor |
17325 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
49920 |
Modular degree for the optimal curve |
Δ |
-37604724609375 = -1 · 36 · 59 · 74 · 11 |
Discriminant |
Eigenvalues |
1 3- 5- 7- 11+ 6 -6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-18117,988416] |
[a1,a2,a3,a4,a6] |
j |
-461889917/26411 |
j-invariant |
L |
2.5615553255615 |
L(r)(E,1)/r! |
Ω |
0.64038883139038 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
1925m1 17325bk1 121275fu1 |
Quadratic twists by: -3 5 -7 |