Atkin-Lehner |
2+ 5+ 11+ 101+ |
Signs for the Atkin-Lehner involutions |
Class |
55550b |
Isogeny class |
Conductor |
55550 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
903168 |
Modular degree for the optimal curve |
Δ |
-2121489218750000000 = -1 · 27 · 513 · 113 · 1012 |
Discriminant |
Eigenvalues |
2+ -1 5+ -1 11+ 0 7 -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,316375,-14682875] |
[a1,a2,a3,a4,a6] |
Generators |
[719:23830:1] |
Generators of the group modulo torsion |
j |
224134141362545519/135775310000000 |
j-invariant |
L |
2.8313461133809 |
L(r)(E,1)/r! |
Ω |
0.15146849212925 |
Real period |
R |
4.6731601959598 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999997847 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
11110h1 |
Quadratic twists by: 5 |