Atkin-Lehner |
3+ 5+ 7+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
88305a |
Isogeny class |
Conductor |
88305 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
621254295268635 = 3 · 5 · 74 · 297 |
Discriminant |
Eigenvalues |
1 3+ 5+ 7+ 4 2 -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-1951978,1048875037] |
[a1,a2,a3,a4,a6] |
Generators |
[4106125212:-2179092125:5088448] |
Generators of the group modulo torsion |
j |
1382804639990929/1044435 |
j-invariant |
L |
5.2559765070635 |
L(r)(E,1)/r! |
Ω |
0.42697352916056 |
Real period |
R |
12.309841596515 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999946577 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
3045g3 |
Quadratic twists by: 29 |