Atkin-Lehner |
2+ 3- 7+ 11+ 59- |
Signs for the Atkin-Lehner involutions |
Class |
27258k |
Isogeny class |
Conductor |
27258 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
67584 |
Modular degree for the optimal curve |
Δ |
935187525888 = 28 · 3 · 72 · 112 · 593 |
Discriminant |
Eigenvalues |
2+ 3- 0 7+ 11+ 6 -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-12426,530044] |
[a1,a2,a3,a4,a6] |
Generators |
[-38:992:1] |
Generators of the group modulo torsion |
j |
212161959434265625/935187525888 |
j-invariant |
L |
4.9981718272247 |
L(r)(E,1)/r! |
Ω |
0.88751948217228 |
Real period |
R |
0.93860321334229 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
81774bu1 |
Quadratic twists by: -3 |