Atkin-Lehner |
2- 3+ 5+ 23- 43+ |
Signs for the Atkin-Lehner involutions |
Class |
89010bd |
Isogeny class |
Conductor |
89010 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
41856 |
Modular degree for the optimal curve |
Δ |
-194664870 = -1 · 2 · 39 · 5 · 23 · 43 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 0 4 -1 0 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-488,4321] |
[a1,a2,a3,a4,a6] |
Generators |
[254:1003:8] |
Generators of the group modulo torsion |
j |
-651714363/9890 |
j-invariant |
L |
11.302690359027 |
L(r)(E,1)/r! |
Ω |
1.7942797747232 |
Real period |
R |
3.1496454793963 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999969645 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
89010d1 |
Quadratic twists by: -3 |