Atkin-Lehner |
3- 7+ 11- 53+ |
Signs for the Atkin-Lehner involutions |
Class |
36729p |
Isogeny class |
Conductor |
36729 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
150528 |
Modular degree for the optimal curve |
Δ |
-129854281266171 = -1 · 36 · 78 · 11 · 532 |
Discriminant |
Eigenvalues |
-2 3- 1 7+ 11- 4 0 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-16047,955388] |
[a1,a2,a3,a4,a6] |
Generators |
[1597:63626:1] |
Generators of the group modulo torsion |
j |
-626870368456704/178126586099 |
j-invariant |
L |
3.3726591934577 |
L(r)(E,1)/r! |
Ω |
0.55533858145027 |
Real period |
R |
1.5182896102096 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999992 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
4081b1 |
Quadratic twists by: -3 |