Atkin-Lehner |
2- 3- 5+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
41400bt |
Isogeny class |
Conductor |
41400 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
147456 |
Modular degree for the optimal curve |
Δ |
-27162540000000 = -1 · 28 · 310 · 57 · 23 |
Discriminant |
Eigenvalues |
2- 3- 5+ -3 6 2 3 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-45300,-3719500] |
[a1,a2,a3,a4,a6] |
Generators |
[2620:133650:1] |
Generators of the group modulo torsion |
j |
-3525581824/9315 |
j-invariant |
L |
5.9099019311755 |
L(r)(E,1)/r! |
Ω |
0.16359735429333 |
Real period |
R |
4.5155848918747 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999909 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
82800bm1 13800h1 8280n1 |
Quadratic twists by: -4 -3 5 |