Atkin-Lehner |
3- 5+ 7- 11+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
105105br |
Isogeny class |
Conductor |
105105 |
Conductor |
∏ cp |
384 |
Product of Tamagawa factors cp |
Δ |
2.3215226186762E+23 |
Discriminant |
Eigenvalues |
-1 3- 5+ 7- 11+ 13+ -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-32015621,65756299440] |
[a1,a2,a3,a4,a6] |
Generators |
[-3467:369271:1] |
Generators of the group modulo torsion |
j |
30847591660149434963521/1973261667057305625 |
j-invariant |
L |
4.1198010660783 |
L(r)(E,1)/r! |
Ω |
0.097437681730801 |
Real period |
R |
1.7617247667797 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000036731 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
15015e3 |
Quadratic twists by: -7 |