Atkin-Lehner |
2- 3- 5+ 23+ 43- |
Signs for the Atkin-Lehner involutions |
Class |
89010bk |
Isogeny class |
Conductor |
89010 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
5560320 |
Modular degree for the optimal curve |
Δ |
-297967928906250 = -1 · 2 · 36 · 58 · 233 · 43 |
Discriminant |
Eigenvalues |
2- 3- 5+ 0 -6 -6 4 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-34291073,77297934331] |
[a1,a2,a3,a4,a6] |
j |
-6117012899984274413660361/408735156250 |
j-invariant |
L |
1.2049081502188 |
L(r)(E,1)/r! |
Ω |
0.30122703144785 |
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 |
9890e1 |
Quadratic twists by: -3 |