Atkin-Lehner |
2- 3- 5+ 7+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
83790dl |
Isogeny class |
Conductor |
83790 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
790272 |
Modular degree for the optimal curve |
Δ |
-45457138085625000 = -1 · 23 · 313 · 57 · 74 · 19 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7+ -2 4 -5 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-23603,10358331] |
[a1,a2,a3,a4,a6] |
Generators |
[-199:2772:1] |
Generators of the group modulo torsion |
j |
-830784514441/25970625000 |
j-invariant |
L |
8.9821017414676 |
L(r)(E,1)/r! |
Ω |
0.29990959845494 |
Real period |
R |
2.4957803347804 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000000561 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
27930k1 83790fp1 |
Quadratic twists by: -3 -7 |