Atkin-Lehner |
2+ 3+ 41- 43- |
Signs for the Atkin-Lehner involutions |
Class |
10578d |
Isogeny class |
Conductor |
10578 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
55200 |
Modular degree for the optimal curve |
Δ |
-33256712070144 = -1 · 210 · 35 · 412 · 433 |
Discriminant |
Eigenvalues |
2+ 3+ 3 -5 -1 -5 2 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-5576,-322752] |
[a1,a2,a3,a4,a6] |
Generators |
[112:632:1] |
Generators of the group modulo torsion |
j |
-19178458591950217/33256712070144 |
j-invariant |
L |
2.6817809321669 |
L(r)(E,1)/r! |
Ω |
0.2609172680788 |
Real period |
R |
0.85652339529993 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
84624ba1 31734k1 |
Quadratic twists by: -4 -3 |