Atkin-Lehner |
5+ 13+ 61+ |
Signs for the Atkin-Lehner involutions |
Class |
19825a |
Isogeny class |
Conductor |
19825 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
4026953125 = 58 · 132 · 61 |
Discriminant |
Eigenvalues |
1 0 5+ 0 -6 13+ 4 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-8167,286116] |
[a1,a2,a3,a4,a6] |
Generators |
[64:118:1] |
Generators of the group modulo torsion |
j |
3855860066241/257725 |
j-invariant |
L |
4.8084281972339 |
L(r)(E,1)/r! |
Ω |
1.320497087506 |
Real period |
R |
1.8206886795622 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
3965b2 |
Quadratic twists by: 5 |