Atkin-Lehner |
3+ 5- 7- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
17745h |
Isogeny class |
Conductor |
17745 |
Conductor |
∏ cp |
10 |
Product of Tamagawa factors cp |
deg |
4800 |
Modular degree for the optimal curve |
Δ |
-33271875 = -1 · 32 · 55 · 7 · 132 |
Discriminant |
Eigenvalues |
0 3+ 5- 7- 5 13+ -3 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-225,1406] |
[a1,a2,a3,a4,a6] |
Generators |
[0:37:1] |
Generators of the group modulo torsion |
j |
-7487094784/196875 |
j-invariant |
L |
4.1234910687475 |
L(r)(E,1)/r! |
Ω |
2.0688253494946 |
Real period |
R |
0.19931557150317 |
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 |
53235q1 88725bl1 124215cb1 17745b1 |
Quadratic twists by: -3 5 -7 13 |