Atkin-Lehner |
3- 5+ 7+ 17+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
101745k |
Isogeny class |
Conductor |
101745 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
823680 |
Modular degree for the optimal curve |
Δ |
-640830924818595 = -1 · 36 · 5 · 73 · 175 · 192 |
Discriminant |
Eigenvalues |
2 3- 5+ 7+ 4 7 17+ 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,17277,848169] |
[a1,a2,a3,a4,a6] |
j |
782350174121984/879054766555 |
j-invariant |
L |
5.4556387905166 |
L(r)(E,1)/r! |
Ω |
0.3409773809632 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
11305g1 |
Quadratic twists by: -3 |