Atkin-Lehner |
2+ 17- 41+ |
Signs for the Atkin-Lehner involutions |
Class |
57154g |
Isogeny class |
Conductor |
57154 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
14400 |
Modular degree for the optimal curve |
Δ |
-37493024 = -1 · 25 · 17 · 413 |
Discriminant |
Eigenvalues |
2+ -1 -1 2 -5 -1 17- -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,27,301] |
[a1,a2,a3,a4,a6] |
Generators |
[-42:77:8] [3:-22:1] |
Generators of the group modulo torsion |
j |
29791/544 |
j-invariant |
L |
5.8140927598925 |
L(r)(E,1)/r! |
Ω |
1.5309030644623 |
Real period |
R |
1.8989095047426 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999975 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
57154b1 |
Quadratic twists by: 41 |