Atkin-Lehner |
2+ 3- 5+ 23- 43+ |
Signs for the Atkin-Lehner involutions |
Class |
89010o |
Isogeny class |
Conductor |
89010 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
2903040 |
Modular degree for the optimal curve |
Δ |
-1.4898396445312E+20 |
Discriminant |
Eigenvalues |
2+ 3- 5+ -2 -1 1 4 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-1098270,735887700] |
[a1,a2,a3,a4,a6] |
Generators |
[-10635:903755:27] |
Generators of the group modulo torsion |
j |
-200966545996338417121/204367578125000000 |
j-invariant |
L |
3.6524890791771 |
L(r)(E,1)/r! |
Ω |
0.16656199726398 |
Real period |
R |
1.8273921700121 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000010174 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
9890j1 |
Quadratic twists by: -3 |