Atkin-Lehner |
2- 11- 19- |
Signs for the Atkin-Lehner involutions |
Class |
36784bg |
Isogeny class |
Conductor |
36784 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
6912 |
Modular degree for the optimal curve |
Δ |
-18833408 = -1 · 213 · 112 · 19 |
Discriminant |
Eigenvalues |
2- -1 0 -1 11- -2 -6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-128,640] |
[a1,a2,a3,a4,a6] |
Generators |
[8:8:1] [5:10:1] |
Generators of the group modulo torsion |
j |
-471625/38 |
j-invariant |
L |
7.2273913388321 |
L(r)(E,1)/r! |
Ω |
2.1310850637357 |
Real period |
R |
0.84785345524452 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999986 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
4598m1 36784v1 |
Quadratic twists by: -4 -11 |