Atkin-Lehner |
2- 3- 7- 11- 59+ |
Signs for the Atkin-Lehner involutions |
Class |
27258bq |
Isogeny class |
Conductor |
27258 |
Conductor |
∏ cp |
125 |
Product of Tamagawa factors cp |
deg |
56000 |
Modular degree for the optimal curve |
Δ |
-84818609568 = -1 · 25 · 35 · 75 · 11 · 59 |
Discriminant |
Eigenvalues |
2- 3- -4 7- 11- -1 -2 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-3280,73376] |
[a1,a2,a3,a4,a6] |
Generators |
[-46:380:1] |
Generators of the group modulo torsion |
j |
-3902595313317121/84818609568 |
j-invariant |
L |
7.9213525376689 |
L(r)(E,1)/r! |
Ω |
1.0782137069903 |
Real period |
R |
1.4693474004853 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
5 |
Number of elements in the torsion subgroup |
Twists |
81774x1 |
Quadratic twists by: -3 |