Atkin-Lehner |
2- 3- 7+ 83- |
Signs for the Atkin-Lehner involutions |
Class |
41832w |
Isogeny class |
Conductor |
41832 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
10752 |
Modular degree for the optimal curve |
Δ |
-426937392 = -1 · 24 · 38 · 72 · 83 |
Discriminant |
Eigenvalues |
2- 3- 2 7+ 0 4 2 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,186,-187] |
[a1,a2,a3,a4,a6] |
j |
61011968/36603 |
j-invariant |
L |
3.9062028929503 |
L(r)(E,1)/r! |
Ω |
0.9765507232291 |
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 |
83664t1 13944a1 |
Quadratic twists by: -4 -3 |