Atkin-Lehner |
2- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
53824x |
Isogeny class |
Conductor |
53824 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
215040 |
Modular degree for the optimal curve |
Δ |
-1130487893786624 = -1 · 216 · 297 |
Discriminant |
Eigenvalues |
2- -1 -1 -2 -3 1 0 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-270241,54186689] |
[a1,a2,a3,a4,a6] |
Generators |
[8535:13456:27] [677:13456:1] |
Generators of the group modulo torsion |
j |
-55990084/29 |
j-invariant |
L |
7.0151369425436 |
L(r)(E,1)/r! |
Ω |
0.4823364185079 |
Real period |
R |
0.90900467409318 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999983 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
53824a1 13456a1 1856i1 |
Quadratic twists by: -4 8 29 |