Atkin-Lehner |
2- 3- 5+ 7- 11+ |
Signs for the Atkin-Lehner involutions |
Class |
32340be |
Isogeny class |
Conductor |
32340 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
103680 |
Modular degree for the optimal curve |
Δ |
-7072758000 = -1 · 24 · 38 · 53 · 72 · 11 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7- 11+ 5 -2 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-136586,-19474911] |
[a1,a2,a3,a4,a6] |
j |
-359442469227794176/9021375 |
j-invariant |
L |
2.9800873120917 |
L(r)(E,1)/r! |
Ω |
0.12417030467041 |
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 |
129360en1 97020dc1 32340j1 |
Quadratic twists by: -4 -3 -7 |