Atkin-Lehner |
2- 5+ 17- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
54910z |
Isogeny class |
Conductor |
54910 |
Conductor |
∏ cp |
42 |
Product of Tamagawa factors cp |
deg |
479808 |
Modular degree for the optimal curve |
Δ |
-1611678999168640 = -1 · 27 · 5 · 178 · 192 |
Discriminant |
Eigenvalues |
2- 0 5+ -5 3 -5 17- 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-27943,2645727] |
[a1,a2,a3,a4,a6] |
Generators |
[795:21566:1] |
Generators of the group modulo torsion |
j |
-345889089/231040 |
j-invariant |
L |
5.6088421265489 |
L(r)(E,1)/r! |
Ω |
0.43800049065574 |
Real period |
R |
0.30489431633976 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000072 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
54910bb1 |
Quadratic twists by: 17 |