Atkin-Lehner |
2- 3- 5- 7+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
76230ej |
Isogeny class |
Conductor |
76230 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
Δ |
5.745382255277E+26 |
Discriminant |
Eigenvalues |
2- 3- 5- 7+ 11- -2 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-371894612,-2507907512239] |
[a1,a2,a3,a4,a6] |
Generators |
[73980393340971078:-11136098005489395463:2106011807432] |
Generators of the group modulo torsion |
j |
4404531606962679693649/444872222400201750 |
j-invariant |
L |
11.401294395504 |
L(r)(E,1)/r! |
Ω |
0.034602943838827 |
Real period |
R |
27.457428783017 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000001628 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
25410w8 6930o7 |
Quadratic twists by: -3 -11 |