Atkin-Lehner |
3+ 19+ 83+ |
Signs for the Atkin-Lehner involutions |
Class |
89889b |
Isogeny class |
Conductor |
89889 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
487008 |
Modular degree for the optimal curve |
Δ |
-350999297368347 = -1 · 3 · 198 · 832 |
Discriminant |
Eigenvalues |
-1 3+ 2 -1 4 7 6 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-57587,-5418892] |
[a1,a2,a3,a4,a6] |
Generators |
[85786828:11292373411:4913] |
Generators of the group modulo torsion |
j |
-1243565713/20667 |
j-invariant |
L |
4.7544078182405 |
L(r)(E,1)/r! |
Ω |
0.15394296071958 |
Real period |
R |
15.442108506728 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000024573 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
89889f1 |
Quadratic twists by: -19 |