Atkin-Lehner |
2- 3+ 5+ 71+ |
Signs for the Atkin-Lehner involutions |
Class |
85200bs |
Isogeny class |
Conductor |
85200 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
516096 |
Modular degree for the optimal curve |
Δ |
-16751001600000000 = -1 · 226 · 32 · 58 · 71 |
Discriminant |
Eigenvalues |
2- 3+ 5+ -2 -2 0 0 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-36408,-6764688] |
[a1,a2,a3,a4,a6] |
j |
-83396175409/261734400 |
j-invariant |
L |
1.2754266469399 |
L(r)(E,1)/r! |
Ω |
0.15942832909805 |
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 |
10650l1 17040t1 |
Quadratic twists by: -4 5 |