Atkin-Lehner |
3+ 5- 13+ 43- |
Signs for the Atkin-Lehner involutions |
Class |
109005h |
Isogeny class |
Conductor |
109005 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
1612800 |
Modular degree for the optimal curve |
Δ |
-144804167550978975 = -1 · 33 · 52 · 137 · 434 |
Discriminant |
Eigenvalues |
-1 3+ 5- 4 4 13+ -6 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-73265,19805222] |
[a1,a2,a3,a4,a6] |
Generators |
[3610:214568:1] |
Generators of the group modulo torsion |
j |
-9010598335129/29999978775 |
j-invariant |
L |
4.7086129614861 |
L(r)(E,1)/r! |
Ω |
0.28608883733414 |
Real period |
R |
8.2292845282787 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000161219 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
8385c1 |
Quadratic twists by: 13 |