Atkin-Lehner |
2- 31+ 47+ |
Signs for the Atkin-Lehner involutions |
Class |
11656c |
Isogeny class |
Conductor |
11656 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
40896 |
Modular degree for the optimal curve |
Δ |
6591514624 = 211 · 31 · 473 |
Discriminant |
Eigenvalues |
2- -1 -3 -1 -2 4 4 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-415152,103096204] |
[a1,a2,a3,a4,a6] |
j |
3863813978842917986/3218513 |
j-invariant |
L |
0.83258285380384 |
L(r)(E,1)/r! |
Ω |
0.83258285380384 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
23312c1 93248d1 104904f1 |
Quadratic twists by: -4 8 -3 |