Atkin-Lehner |
2- 3+ 5- 13+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
71760bi |
Isogeny class |
Conductor |
71760 |
Conductor |
∏ cp |
10 |
Product of Tamagawa factors cp |
deg |
268800 |
Modular degree for the optimal curve |
Δ |
-133921382400000 = -1 · 216 · 37 · 55 · 13 · 23 |
Discriminant |
Eigenvalues |
2- 3+ 5- 3 -3 13+ -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-58280,-5424528] |
[a1,a2,a3,a4,a6] |
j |
-5344780143505321/32695650000 |
j-invariant |
L |
1.5357844361598 |
L(r)(E,1)/r! |
Ω |
0.15357844402175 |
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 |
8970f1 |
Quadratic twists by: -4 |