Atkin-Lehner |
2- 11- 19- |
Signs for the Atkin-Lehner involutions |
Class |
36784bi |
Isogeny class |
Conductor |
36784 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
207360 |
Modular degree for the optimal curve |
Δ |
-3486593500983296 = -1 · 212 · 119 · 192 |
Discriminant |
Eigenvalues |
2- -1 -3 -4 11- -2 0 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-52917,5497021] |
[a1,a2,a3,a4,a6] |
Generators |
[180:-1331:1] [156:1007:1] |
Generators of the group modulo torsion |
j |
-2258403328/480491 |
j-invariant |
L |
5.2614241578669 |
L(r)(E,1)/r! |
Ω |
0.42577816636487 |
Real period |
R |
1.5446494716914 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000002 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
2299c1 3344e1 |
Quadratic twists by: -4 -11 |