Atkin-Lehner |
2- 17- 47- |
Signs for the Atkin-Lehner involutions |
Class |
25568f |
Isogeny class |
Conductor |
25568 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
55635968 = 212 · 172 · 47 |
Discriminant |
Eigenvalues |
2- -2 0 -2 -4 -2 17- 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-273,-1793] |
[a1,a2,a3,a4,a6] |
Generators |
[-9:4:1] [39:220:1] |
Generators of the group modulo torsion |
j |
551368000/13583 |
j-invariant |
L |
5.4218753689046 |
L(r)(E,1)/r! |
Ω |
1.1759222015112 |
Real period |
R |
2.305371631702 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.9999999999999 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
25568e2 51136p1 |
Quadratic twists by: -4 8 |