Atkin-Lehner |
2+ 3+ 5- 7+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
6510c |
Isogeny class |
Conductor |
6510 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
54488700 = 22 · 34 · 52 · 7 · 312 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 7+ 2 4 -4 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-3727,86041] |
[a1,a2,a3,a4,a6] |
Generators |
[27:64:1] |
Generators of the group modulo torsion |
j |
5727748633923961/54488700 |
j-invariant |
L |
2.7422734406654 |
L(r)(E,1)/r! |
Ω |
1.7961625398683 |
Real period |
R |
0.38168503403742 |
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 |
52080cd2 19530bq2 32550cj2 45570bc2 |
Quadratic twists by: -4 -3 5 -7 |