Atkin-Lehner |
5+ 13+ 61+ |
Signs for the Atkin-Lehner involutions |
Class |
51545a |
Isogeny class |
Conductor |
51545 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
1243989349525 = 52 · 138 · 61 |
Discriminant |
Eigenvalues |
1 0 5+ 0 6 13+ -4 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-55210,5006691] |
[a1,a2,a3,a4,a6] |
Generators |
[530:10889:1] |
Generators of the group modulo torsion |
j |
3855860066241/257725 |
j-invariant |
L |
5.9039180329079 |
L(r)(E,1)/r! |
Ω |
0.81893752887312 |
Real period |
R |
3.6046205142631 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999253 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
3965b2 |
Quadratic twists by: 13 |