Atkin-Lehner |
2+ 3+ 13- 23- |
Signs for the Atkin-Lehner involutions |
Class |
28704f |
Isogeny class |
Conductor |
28704 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
10563072 = 29 · 3 · 13 · 232 |
Discriminant |
Eigenvalues |
2+ 3+ 0 -4 0 13- 8 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-408,-3036] |
[a1,a2,a3,a4,a6] |
Generators |
[25:42:1] |
Generators of the group modulo torsion |
j |
14706125000/20631 |
j-invariant |
L |
3.8159029712818 |
L(r)(E,1)/r! |
Ω |
1.0621416385968 |
Real period |
R |
3.5926498242957 |
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 |
28704t2 57408bg2 86112bc2 |
Quadratic twists by: -4 8 -3 |