Atkin-Lehner |
3+ 5- 7- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
17745g |
Isogeny class |
Conductor |
17745 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
14976 |
Modular degree for the optimal curve |
Δ |
-256955177115 = -1 · 32 · 5 · 7 · 138 |
Discriminant |
Eigenvalues |
0 3+ 5- 7- -1 13+ -3 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,1465,10883] |
[a1,a2,a3,a4,a6] |
Generators |
[113:1267:1] |
Generators of the group modulo torsion |
j |
425984/315 |
j-invariant |
L |
3.5305678369773 |
L(r)(E,1)/r! |
Ω |
0.62736211297597 |
Real period |
R |
0.93793992442142 |
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 |
53235o1 88725bk1 124215by1 17745a1 |
Quadratic twists by: -3 5 -7 13 |