Atkin-Lehner |
2- 3- 5+ 61+ |
Signs for the Atkin-Lehner involutions |
Class |
43920bh |
Isogeny class |
Conductor |
43920 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
354816 |
Modular degree for the optimal curve |
Δ |
-20650524522577920 = -1 · 219 · 317 · 5 · 61 |
Discriminant |
Eigenvalues |
2- 3- 5+ -1 2 5 -6 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-344523,78141562] |
[a1,a2,a3,a4,a6] |
Generators |
[389:1728:1] |
Generators of the group modulo torsion |
j |
-1514575392925321/6915818880 |
j-invariant |
L |
5.5914355418057 |
L(r)(E,1)/r! |
Ω |
0.38566429140001 |
Real period |
R |
1.8122741936691 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000025 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
5490q1 14640bf1 |
Quadratic twists by: -4 -3 |