Atkin-Lehner |
5- 11+ 17- 19- |
Signs for the Atkin-Lehner involutions |
Class |
17765d |
Isogeny class |
Conductor |
17765 |
Conductor |
∏ cp |
36 |
Product of Tamagawa factors cp |
deg |
45504 |
Modular degree for the optimal curve |
Δ |
-101937257675 = -1 · 52 · 112 · 173 · 193 |
Discriminant |
Eigenvalues |
-2 -3 5- 0 11+ -4 17- 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,1163,-1710] |
[a1,a2,a3,a4,a6] |
Generators |
[3:42:1] [10:104:1] |
Generators of the group modulo torsion |
j |
173965390516224/101937257675 |
j-invariant |
L |
2.6362541118553 |
L(r)(E,1)/r! |
Ω |
0.62509423590814 |
Real period |
R |
0.11714918595985 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000005 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
88825c1 |
Quadratic twists by: 5 |