Atkin-Lehner |
3+ 7+ 11- 53- |
Signs for the Atkin-Lehner involutions |
Class |
36729f |
Isogeny class |
Conductor |
36729 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
48960 |
Modular degree for the optimal curve |
Δ |
-743146194483 = -1 · 33 · 75 · 11 · 533 |
Discriminant |
Eigenvalues |
0 3+ -2 7+ 11- 2 -2 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-15216,-723625] |
[a1,a2,a3,a4,a6] |
Generators |
[145:344:1] |
Generators of the group modulo torsion |
j |
-14429837712162816/27523933129 |
j-invariant |
L |
3.5195443555318 |
L(r)(E,1)/r! |
Ω |
0.21490414435132 |
Real period |
R |
2.7295458991371 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000004 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
36729a1 |
Quadratic twists by: -3 |