Atkin-Lehner |
5+ 59+ |
Signs for the Atkin-Lehner involutions |
Class |
17405b |
Isogeny class |
Conductor |
17405 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
127440 |
Modular degree for the optimal curve |
Δ |
-43314979093274695 = -1 · 5 · 599 |
Discriminant |
Eigenvalues |
-1 -2 5+ -2 0 6 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-47066,-10760885] |
[a1,a2,a3,a4,a6] |
Generators |
[39858718154409:428109405235975:114154707051] |
Generators of the group modulo torsion |
j |
-1331/5 |
j-invariant |
L |
1.721292236937 |
L(r)(E,1)/r! |
Ω |
0.14831793223298 |
Real period |
R |
23.210844582613 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
87025a1 17405a1 |
Quadratic twists by: 5 -59 |