Atkin-Lehner |
2+ 3+ 7+ 37+ |
Signs for the Atkin-Lehner involutions |
Class |
49728h |
Isogeny class |
Conductor |
49728 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
2473338884308992 = 214 · 38 · 75 · 372 |
Discriminant |
Eigenvalues |
2+ 3+ -4 7+ 0 -4 -4 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-362545,-83866799] |
[a1,a2,a3,a4,a6] |
Generators |
[18885:55648:27] |
Generators of the group modulo torsion |
j |
321655313992678864/150960625263 |
j-invariant |
L |
2.5885423189058 |
L(r)(E,1)/r! |
Ω |
0.19456790737797 |
Real period |
R |
6.6520279571771 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000000004 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
49728ev2 3108f2 |
Quadratic twists by: -4 8 |