Atkin-Lehner |
2- 3+ 5- 7- 83+ |
Signs for the Atkin-Lehner involutions |
Class |
17430bb |
Isogeny class |
Conductor |
17430 |
Conductor |
∏ cp |
28 |
Product of Tamagawa factors cp |
deg |
173376 |
Modular degree for the optimal curve |
Δ |
132359062500 = 22 · 36 · 57 · 7 · 83 |
Discriminant |
Eigenvalues |
2- 3+ 5- 7- 4 4 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-945620,353540657] |
[a1,a2,a3,a4,a6] |
j |
93513365626022452918081/132359062500 |
j-invariant |
L |
4.6536139037942 |
L(r)(E,1)/r! |
Ω |
0.66480198625631 |
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 |
52290bc1 87150bh1 122010de1 |
Quadratic twists by: -3 5 -7 |