Atkin-Lehner |
2+ 3- 7- 29- |
Signs for the Atkin-Lehner involutions |
Class |
25578u |
Isogeny class |
Conductor |
25578 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
Δ |
-1.1812429772853E+19 |
Discriminant |
Eigenvalues |
2+ 3- 0 7- 0 -2 -6 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,470538,-109248476] |
[a1,a2,a3,a4,a6] |
Generators |
[275:6257:1] [536:16958:1] |
Generators of the group modulo torsion |
j |
134335727363375/137728390128 |
j-invariant |
L |
6.0477350266634 |
L(r)(E,1)/r! |
Ω |
0.12272936027327 |
Real period |
R |
4.106416897851 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
8526m3 3654m3 |
Quadratic twists by: -3 -7 |