Atkin-Lehner |
3+ 19- 71- |
Signs for the Atkin-Lehner involutions |
Class |
76893d |
Isogeny class |
Conductor |
76893 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
1537920 |
Modular degree for the optimal curve |
Δ |
-640829082551117751 = -1 · 312 · 198 · 71 |
Discriminant |
Eigenvalues |
1 3+ -2 -4 4 -6 6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,105044,36260995] |
[a1,a2,a3,a4,a6] |
Generators |
[189718:29124481:8] |
Generators of the group modulo torsion |
j |
2724641702063/13621364271 |
j-invariant |
L |
2.9232431186375 |
L(r)(E,1)/r! |
Ω |
0.20723828147432 |
Real period |
R |
7.0528550544482 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999886936 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
4047a1 |
Quadratic twists by: -19 |