Atkin-Lehner |
3+ 5+ 7+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
88305a |
Isogeny class |
Conductor |
88305 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
5515216702895025 = 32 · 52 · 72 · 298 |
Discriminant |
Eigenvalues |
1 3+ 5+ 7+ 4 2 -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-122803,16122832] |
[a1,a2,a3,a4,a6] |
Generators |
[13632:1584356:1] |
Generators of the group modulo torsion |
j |
344324701729/9272025 |
j-invariant |
L |
5.2559765070635 |
L(r)(E,1)/r! |
Ω |
0.42697352916056 |
Real period |
R |
6.1549207982574 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999946577 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
3045g2 |
Quadratic twists by: 29 |