Atkin-Lehner |
2+ 5+ 11+ 37+ |
Signs for the Atkin-Lehner involutions |
Class |
81400b |
Isogeny class |
Conductor |
81400 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
44800 |
Modular degree for the optimal curve |
Δ |
-13024000000 = -1 · 211 · 56 · 11 · 37 |
Discriminant |
Eigenvalues |
2+ -2 5+ 2 11+ 2 3 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-8,5488] |
[a1,a2,a3,a4,a6] |
Generators |
[139:1646:1] |
Generators of the group modulo torsion |
j |
-2/407 |
j-invariant |
L |
5.0360483897389 |
L(r)(E,1)/r! |
Ω |
1.0042555677043 |
Real period |
R |
5.0147079630739 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999994859 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
3256a1 |
Quadratic twists by: 5 |