Atkin-Lehner |
2- 7- 13+ 59+ |
Signs for the Atkin-Lehner involutions |
Class |
21476f |
Isogeny class |
Conductor |
21476 |
Conductor |
∏ cp |
15 |
Product of Tamagawa factors cp |
deg |
8160 |
Modular degree for the optimal curve |
Δ |
206255504 = 24 · 75 · 13 · 59 |
Discriminant |
Eigenvalues |
2- -2 -3 7- 3 13+ 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-302,1801] |
[a1,a2,a3,a4,a6] |
Generators |
[-2:49:1] |
Generators of the group modulo torsion |
j |
191012516608/12890969 |
j-invariant |
L |
2.9367060422855 |
L(r)(E,1)/r! |
Ω |
1.7477856203765 |
Real period |
R |
0.11201625676315 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
85904m1 |
Quadratic twists by: -4 |