Atkin-Lehner |
2- 7- 13+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
89908g |
Isogeny class |
Conductor |
89908 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
556416 |
Modular degree for the optimal curve |
Δ |
-2244219284066032 = -1 · 24 · 76 · 137 · 19 |
Discriminant |
Eigenvalues |
2- 0 4 7- 2 13+ -1 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-43433,-4163315] |
[a1,a2,a3,a4,a6] |
Generators |
[2210:17745:8] |
Generators of the group modulo torsion |
j |
-117328386816/29059303 |
j-invariant |
L |
10.004056603882 |
L(r)(E,1)/r! |
Ω |
0.16322448691682 |
Real period |
R |
2.5537570961956 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.00000000022 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
6916b1 |
Quadratic twists by: 13 |