Atkin-Lehner |
2+ 3- 5+ 7+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
14490j |
Isogeny class |
Conductor |
14490 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
30720 |
Modular degree for the optimal curve |
Δ |
1036603008000 = 210 · 37 · 53 · 7 · 232 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7+ 2 -6 -4 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-2700,-22064] |
[a1,a2,a3,a4,a6] |
Generators |
[-40:164:1] |
Generators of the group modulo torsion |
j |
2986606123201/1421952000 |
j-invariant |
L |
2.7727475076992 |
L(r)(E,1)/r! |
Ω |
0.69409121715742 |
Real period |
R |
0.99869708734203 |
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 |
115920dl1 4830v1 72450ee1 101430cl1 |
Quadratic twists by: -4 -3 5 -7 |