Atkin-Lehner |
2- 3- 7+ 13+ 59- |
Signs for the Atkin-Lehner involutions |
Class |
96642bs |
Isogeny class |
Conductor |
96642 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
1382400 |
Modular degree for the optimal curve |
Δ |
-68231833121494224 = -1 · 24 · 39 · 710 · 13 · 59 |
Discriminant |
Eigenvalues |
2- 3- 3 7+ 3 13+ 4 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-272561,56261553] |
[a1,a2,a3,a4,a6] |
j |
-3071749751780584393/93596478904656 |
j-invariant |
L |
5.5348321077176 |
L(r)(E,1)/r! |
Ω |
0.34592702802974 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
32214c1 |
Quadratic twists by: -3 |