Atkin-Lehner |
2- 3- 37- 43- |
Signs for the Atkin-Lehner involutions |
Class |
9546k |
Isogeny class |
Conductor |
9546 |
Conductor |
∏ cp |
330 |
Product of Tamagawa factors cp |
deg |
79200 |
Modular degree for the optimal curve |
Δ |
-2010422834362368 = -1 · 211 · 315 · 37 · 432 |
Discriminant |
Eigenvalues |
2- 3- -4 -3 3 -1 5 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,8470,2136996] |
[a1,a2,a3,a4,a6] |
Generators |
[28:1534:1] |
Generators of the group modulo torsion |
j |
67200226748534879/2010422834362368 |
j-invariant |
L |
5.7379596131561 |
L(r)(E,1)/r! |
Ω |
0.35084499292406 |
Real period |
R |
0.049559653847667 |
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 |
76368i1 28638h1 |
Quadratic twists by: -4 -3 |