Atkin-Lehner |
2- 3- 11+ 89+ |
Signs for the Atkin-Lehner involutions |
Class |
46992i |
Isogeny class |
Conductor |
46992 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
5760 |
Modular degree for the optimal curve |
Δ |
-2255616 = -1 · 28 · 32 · 11 · 89 |
Discriminant |
Eigenvalues |
2- 3- 1 0 11+ 3 0 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-45,-153] |
[a1,a2,a3,a4,a6] |
Generators |
[27:138:1] |
Generators of the group modulo torsion |
j |
-40247296/8811 |
j-invariant |
L |
8.0113845988411 |
L(r)(E,1)/r! |
Ω |
0.90932369350645 |
Real period |
R |
2.2025667691441 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999999988 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
11748b1 |
Quadratic twists by: -4 |