Atkin-Lehner |
2+ 3- 5- 13+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
36270x |
Isogeny class |
Conductor |
36270 |
Conductor |
∏ cp |
160 |
Product of Tamagawa factors cp |
deg |
921600 |
Modular degree for the optimal curve |
Δ |
-4.617450279E+19 |
Discriminant |
Eigenvalues |
2+ 3- 5- -2 0 13+ 0 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,887616,57072640] |
[a1,a2,a3,a4,a6] |
Generators |
[416:-22528:1] |
Generators of the group modulo torsion |
j |
106089224556966884351/63339510000000000 |
j-invariant |
L |
4.0519287511314 |
L(r)(E,1)/r! |
Ω |
0.12335305718558 |
Real period |
R |
0.82120557924928 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000003 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
12090s1 |
Quadratic twists by: -3 |