Atkin-Lehner |
2+ 3+ 31- 83- |
Signs for the Atkin-Lehner involutions |
Class |
61752c |
Isogeny class |
Conductor |
61752 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
10368 |
Modular degree for the optimal curve |
Δ |
-71138304 = -1 · 210 · 33 · 31 · 83 |
Discriminant |
Eigenvalues |
2+ 3+ -1 1 0 1 -3 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-16,412] |
[a1,a2,a3,a4,a6] |
Generators |
[-6:16:1] |
Generators of the group modulo torsion |
j |
-470596/69471 |
j-invariant |
L |
4.8646034987692 |
L(r)(E,1)/r! |
Ω |
1.5931275852736 |
Real period |
R |
1.5267463648424 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999993338 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
123504h1 |
Quadratic twists by: -4 |