Atkin-Lehner |
3+ 7- 11- 53+ |
Signs for the Atkin-Lehner involutions |
Class |
36729k |
Isogeny class |
Conductor |
36729 |
Conductor |
∏ cp |
18 |
Product of Tamagawa factors cp |
deg |
29376 |
Modular degree for the optimal curve |
Δ |
-476254769067 = -1 · 39 · 73 · 113 · 53 |
Discriminant |
Eigenvalues |
-1 3+ 0 7- 11- 3 0 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-1325,38368] |
[a1,a2,a3,a4,a6] |
Generators |
[106:986:1] |
Generators of the group modulo torsion |
j |
-13060888875/24196249 |
j-invariant |
L |
3.8734695056746 |
L(r)(E,1)/r! |
Ω |
0.83381358220157 |
Real period |
R |
0.25808256774512 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999959 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
36729j1 |
Quadratic twists by: -3 |