Atkin-Lehner |
2- 5+ 89- |
Signs for the Atkin-Lehner involutions |
Class |
8900b |
Isogeny class |
Conductor |
8900 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
1680 |
Modular degree for the optimal curve |
Δ |
-356000000 = -1 · 28 · 56 · 89 |
Discriminant |
Eigenvalues |
2- 1 5+ 0 0 4 1 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,92,-812] |
[a1,a2,a3,a4,a6] |
Generators |
[795:1052:125] |
Generators of the group modulo torsion |
j |
21296/89 |
j-invariant |
L |
5.0982858192036 |
L(r)(E,1)/r! |
Ω |
0.8613999171502 |
Real period |
R |
5.9186049565345 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
35600z1 80100l1 356a1 |
Quadratic twists by: -4 -3 5 |