Atkin-Lehner |
2- 3- 5+ 11+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
40920bc |
Isogeny class |
Conductor |
40920 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
165888 |
Modular degree for the optimal curve |
Δ |
162925727778000 = 24 · 36 · 53 · 112 · 314 |
Discriminant |
Eigenvalues |
2- 3- 5+ 2 11+ -4 -8 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-26851,-1587226] |
[a1,a2,a3,a4,a6] |
Generators |
[-85:297:1] |
Generators of the group modulo torsion |
j |
133813921247094784/10182857986125 |
j-invariant |
L |
6.5649293660137 |
L(r)(E,1)/r! |
Ω |
0.37475211593241 |
Real period |
R |
1.4598381807846 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999974 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
81840f1 122760y1 |
Quadratic twists by: -4 -3 |