Atkin-Lehner |
2+ 3- 7- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
21294bi |
Isogeny class |
Conductor |
21294 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
339873996077585424 = 24 · 312 · 72 · 138 |
Discriminant |
Eigenvalues |
2+ 3- -2 7- -4 13+ 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-207648,-23178960] |
[a1,a2,a3,a4,a6] |
Generators |
[-363:2247:1] |
Generators of the group modulo torsion |
j |
281397674377/96589584 |
j-invariant |
L |
3.1468838392571 |
L(r)(E,1)/r! |
Ω |
0.22989642313764 |
Real period |
R |
3.4220669859804 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
7098bd2 1638q2 |
Quadratic twists by: -3 13 |