Atkin-Lehner |
3+ 7+ 11+ 53- |
Signs for the Atkin-Lehner involutions |
Class |
36729d |
Isogeny class |
Conductor |
36729 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
15936 |
Modular degree for the optimal curve |
Δ |
-13332627 = -1 · 33 · 7 · 113 · 53 |
Discriminant |
Eigenvalues |
2 3+ 0 7+ 11+ -2 4 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-1125,-14525] |
[a1,a2,a3,a4,a6] |
j |
-5832000000000/493801 |
j-invariant |
L |
3.2973815925632 |
L(r)(E,1)/r! |
Ω |
0.41217269906945 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
36729e1 |
Quadratic twists by: -3 |