Atkin-Lehner |
2- 3- 7- 61- |
Signs for the Atkin-Lehner involutions |
Class |
61488bs |
Isogeny class |
Conductor |
61488 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
58092878592 = 28 · 312 · 7 · 61 |
Discriminant |
Eigenvalues |
2- 3- 0 7- 4 -6 -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-20415,-1122662] |
[a1,a2,a3,a4,a6] |
Generators |
[304372134:-22661381623:54872] |
Generators of the group modulo torsion |
j |
5042017762000/311283 |
j-invariant |
L |
6.3549126849338 |
L(r)(E,1)/r! |
Ω |
0.3994052943681 |
Real period |
R |
15.910937522435 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000178 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
15372c2 20496z2 |
Quadratic twists by: -4 -3 |