Atkin-Lehner |
2+ 3+ 5- 23+ 43+ |
Signs for the Atkin-Lehner involutions |
Class |
89010d |
Isogeny class |
Conductor |
89010 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
13952 |
Modular degree for the optimal curve |
Δ |
-267030 = -1 · 2 · 33 · 5 · 23 · 43 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 0 -4 -1 0 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-54,-142] |
[a1,a2,a3,a4,a6] |
j |
-651714363/9890 |
j-invariant |
L |
1.7580577503274 |
L(r)(E,1)/r! |
Ω |
0.87902877194268 |
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 |
89010bd1 |
Quadratic twists by: -3 |