Atkin-Lehner |
2- 3+ 7+ 13- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
126672bd |
Isogeny class |
Conductor |
126672 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
248832 |
Modular degree for the optimal curve |
Δ |
7321990201344 = 221 · 33 · 73 · 13 · 29 |
Discriminant |
Eigenvalues |
2- 3+ -3 7+ 3 13- 0 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-4992,-36864] |
[a1,a2,a3,a4,a6] |
Generators |
[-64:128:1] |
Generators of the group modulo torsion |
j |
3359498792833/1787595264 |
j-invariant |
L |
3.7530138896268 |
L(r)(E,1)/r! |
Ω |
0.60345572960681 |
Real period |
R |
1.5548008240574 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000071749 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
15834u1 |
Quadratic twists by: -4 |