Atkin-Lehner |
2+ 3- 5+ 7- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
83790bh |
Isogeny class |
Conductor |
83790 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
294912 |
Modular degree for the optimal curve |
Δ |
8212963746960 = 24 · 38 · 5 · 77 · 19 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7- -4 -2 6 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-55575,-5026995] |
[a1,a2,a3,a4,a6] |
Generators |
[-134:89:1] |
Generators of the group modulo torsion |
j |
221335335649/95760 |
j-invariant |
L |
3.7806864074952 |
L(r)(E,1)/r! |
Ω |
0.31095002594148 |
Real period |
R |
3.0396254175577 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999939889 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
27930dl1 11970bb1 |
Quadratic twists by: -3 -7 |