Atkin-Lehner |
2+ 3+ 7- 73- |
Signs for the Atkin-Lehner involutions |
Class |
21462h |
Isogeny class |
Conductor |
21462 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
27648 |
Modular degree for the optimal curve |
Δ |
1227141659268 = 22 · 36 · 78 · 73 |
Discriminant |
Eigenvalues |
2+ 3+ 2 7- 0 0 4 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-2769,16353] |
[a1,a2,a3,a4,a6] |
Generators |
[-21:267:1] |
Generators of the group modulo torsion |
j |
19968681097/10430532 |
j-invariant |
L |
3.8325825742303 |
L(r)(E,1)/r! |
Ω |
0.75889432701168 |
Real period |
R |
2.5251095164474 |
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 |
64386cg1 3066f1 |
Quadratic twists by: -3 -7 |