Atkin-Lehner |
2+ 23- 31- |
Signs for the Atkin-Lehner involutions |
Class |
44206h |
Isogeny class |
Conductor |
44206 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
1843200 |
Modular degree for the optimal curve |
Δ |
622705981128123392 = 210 · 23 · 319 |
Discriminant |
Eigenvalues |
2+ 2 0 -4 0 4 6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-13728385,-19584088587] |
[a1,a2,a3,a4,a6] |
Generators |
[-130977062587785004433817614587560870471316401117:71935304270986619141952468326022614017066769830:61158329213303099660026486115045587722366609] |
Generators of the group modulo torsion |
j |
322412557611777625/701637632 |
j-invariant |
L |
5.677046226075 |
L(r)(E,1)/r! |
Ω |
0.078432262800179 |
Real period |
R |
72.381517801527 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999821 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
1426b1 |
Quadratic twists by: -31 |