Atkin-Lehner |
2+ 3+ 7- 11- 59- |
Signs for the Atkin-Lehner involutions |
Class |
27258g |
Isogeny class |
Conductor |
27258 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
537600 |
Modular degree for the optimal curve |
Δ |
4848012134203392 = 214 · 35 · 72 · 112 · 593 |
Discriminant |
Eigenvalues |
2+ 3+ -2 7- 11- -4 -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-1043016,409552704] |
[a1,a2,a3,a4,a6] |
Generators |
[-560:28888:1] [-304:26584:1] |
Generators of the group modulo torsion |
j |
125486577491936971685257/4848012134203392 |
j-invariant |
L |
4.8689072653529 |
L(r)(E,1)/r! |
Ω |
0.40584371124478 |
Real period |
R |
1.9995001074105 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.9999999999996 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
81774cb1 |
Quadratic twists by: -3 |