Atkin-Lehner |
2+ 3- 7- 29- |
Signs for the Atkin-Lehner involutions |
Class |
25578u |
Isogeny class |
Conductor |
25578 |
Conductor |
∏ cp |
192 |
Product of Tamagawa factors cp |
Δ |
6.2994172681513E+20 |
Discriminant |
Eigenvalues |
2+ 3- 0 7- 0 -2 -6 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-2554722,-1005330488] |
[a1,a2,a3,a4,a6] |
Generators |
[-640568:8108785:512] [-1054:23234:1] |
Generators of the group modulo torsion |
j |
21500025903924625/7344878367708 |
j-invariant |
L |
6.0477350266634 |
L(r)(E,1)/r! |
Ω |
0.12272936027327 |
Real period |
R |
1.0266042244627 |
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 |
8526m4 3654m4 |
Quadratic twists by: -3 -7 |