Atkin-Lehner |
3+ 5+ 7- 19- |
Signs for the Atkin-Lehner involutions |
Class |
69825v |
Isogeny class |
Conductor |
69825 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
839886330322265625 = 34 · 512 · 76 · 192 |
Discriminant |
Eigenvalues |
-1 3+ 5+ 7- 4 2 2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-468588,115125156] |
[a1,a2,a3,a4,a6] |
Generators |
[-750:7112:1] |
Generators of the group modulo torsion |
j |
6189976379881/456890625 |
j-invariant |
L |
3.8575593106515 |
L(r)(E,1)/r! |
Ω |
0.27590742629129 |
Real period |
R |
3.4953384207594 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999997312 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
13965r2 1425h2 |
Quadratic twists by: 5 -7 |