Atkin-Lehner |
3+ 5- 29- |
Signs for the Atkin-Lehner involutions |
Class |
63075j |
Isogeny class |
Conductor |
63075 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
312531697265625 = 38 · 59 · 293 |
Discriminant |
Eigenvalues |
1 3+ 5- 2 -2 4 6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-25450,-1321625] |
[a1,a2,a3,a4,a6] |
Generators |
[-90:545:1] |
Generators of the group modulo torsion |
j |
38272753/6561 |
j-invariant |
L |
7.4618509611981 |
L(r)(E,1)/r! |
Ω |
0.38240688405933 |
Real period |
R |
2.4391071631218 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
4.0000000000582 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
63075y2 63075x2 |
Quadratic twists by: 5 29 |