Atkin-Lehner |
2- 3+ 13+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
56316d |
Isogeny class |
Conductor |
56316 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
54955610880768 = 28 · 33 · 132 · 196 |
Discriminant |
Eigenvalues |
2- 3+ 0 2 0 13+ -6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-53548,-4738232] |
[a1,a2,a3,a4,a6] |
Generators |
[-8699054658:6373433009:66923416] |
Generators of the group modulo torsion |
j |
1409938000/4563 |
j-invariant |
L |
5.0941670555152 |
L(r)(E,1)/r! |
Ω |
0.31390451993867 |
Real period |
R |
16.228396636421 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999712 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
156b2 |
Quadratic twists by: -19 |