Atkin-Lehner |
2- 3- 5- 7+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
43680cf |
Isogeny class |
Conductor |
43680 |
Conductor |
∏ cp |
192 |
Product of Tamagawa factors cp |
Δ |
-1359992381529600 = -1 · 29 · 312 · 52 · 7 · 134 |
Discriminant |
Eigenvalues |
2- 3- 5- 7+ 0 13- -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-39200,3461448] |
[a1,a2,a3,a4,a6] |
Generators |
[-194:1950:1] |
Generators of the group modulo torsion |
j |
-13011370125062408/2656235120175 |
j-invariant |
L |
7.5817120316498 |
L(r)(E,1)/r! |
Ω |
0.46106803017643 |
Real period |
R |
1.3703169480871 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999829 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
43680br2 87360dw3 |
Quadratic twists by: -4 8 |