Atkin-Lehner |
2- 13- 103+ |
Signs for the Atkin-Lehner involutions |
Class |
21424n |
Isogeny class |
Conductor |
21424 |
Conductor |
∏ cp |
40 |
Product of Tamagawa factors cp |
deg |
120960 |
Modular degree for the optimal curve |
Δ |
-2065195302649856 = -1 · 219 · 135 · 1032 |
Discriminant |
Eigenvalues |
2- 1 -3 3 -4 13- 5 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-56152,-5587436] |
[a1,a2,a3,a4,a6] |
Generators |
[534:10816:1] |
Generators of the group modulo torsion |
j |
-4780432459339993/504198071936 |
j-invariant |
L |
5.1502402142275 |
L(r)(E,1)/r! |
Ω |
0.15415097865025 |
Real period |
R |
0.83525908484705 |
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 |
2678e1 85696bj1 |
Quadratic twists by: -4 8 |