Atkin-Lehner |
2+ 3- 5+ 19+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
49590q |
Isogeny class |
Conductor |
49590 |
Conductor |
∏ cp |
10 |
Product of Tamagawa factors cp |
Δ |
1.1847739615914E+19 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 3 3 -6 -3 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-68321925,217381337365] |
[a1,a2,a3,a4,a6] |
Generators |
[4818:3043:1] |
Generators of the group modulo torsion |
j |
48381181538236885996030801/16252043368880320 |
j-invariant |
L |
4.413539970206 |
L(r)(E,1)/r! |
Ω |
0.18231320378026 |
Real period |
R |
2.4208559109688 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000034 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
5510j2 |
Quadratic twists by: -3 |