Atkin-Lehner |
2+ 31+ 47- |
Signs for the Atkin-Lehner involutions |
Class |
11656b |
Isogeny class |
Conductor |
11656 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
1920 |
Modular degree for the optimal curve |
Δ |
-1095664 = -1 · 24 · 31 · 472 |
Discriminant |
Eigenvalues |
2+ 2 -1 5 4 2 2 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-16,-51] |
[a1,a2,a3,a4,a6] |
j |
-30118144/68479 |
j-invariant |
L |
4.4408864942109 |
L(r)(E,1)/r! |
Ω |
1.1102216235527 |
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 |
23312b1 93248i1 104904l1 |
Quadratic twists by: -4 8 -3 |