Atkin-Lehner |
2+ 3- 5+ 83- |
Signs for the Atkin-Lehner involutions |
Class |
79680t |
Isogeny class |
Conductor |
79680 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
1597440 |
Modular degree for the optimal curve |
Δ |
4391324160000000000 = 218 · 3 · 510 · 833 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 0 -2 -4 -4 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-2220481,-1270301281] |
[a1,a2,a3,a4,a6] |
Generators |
[-6099437:-9360408:6859] |
Generators of the group modulo torsion |
j |
4618757595675440881/16751572265625 |
j-invariant |
L |
6.2095192833062 |
L(r)(E,1)/r! |
Ω |
0.12370364546364 |
Real period |
R |
8.3661227361839 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999969937 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
79680bd1 1245b1 |
Quadratic twists by: -4 8 |