Atkin-Lehner |
3+ 7- 11- 53- |
Signs for the Atkin-Lehner involutions |
Class |
36729l |
Isogeny class |
Conductor |
36729 |
Conductor |
∏ cp |
162 |
Product of Tamagawa factors cp |
deg |
1715904 |
Modular degree for the optimal curve |
Δ |
-1.3616207475676E+20 |
Discriminant |
Eigenvalues |
-2 3+ 0 7- 11- -6 0 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-1387455,843135842] |
[a1,a2,a3,a4,a6] |
Generators |
[-1383:10804:1] [-956:35997:1] |
Generators of the group modulo torsion |
j |
-10939983500125066752000/5043039805806086161 |
j-invariant |
L |
4.7745190218626 |
L(r)(E,1)/r! |
Ω |
0.17227276121996 |
Real period |
R |
0.17107951037891 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999973 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
36729i1 |
Quadratic twists by: -3 |