Atkin-Lehner |
2+ 3+ 5+ 17- 47- |
Signs for the Atkin-Lehner involutions |
Class |
119850l |
Isogeny class |
Conductor |
119850 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
156672 |
Modular degree for the optimal curve |
Δ |
203745000000 = 26 · 3 · 57 · 172 · 47 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 2 4 2 17- 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-1500,-6000] |
[a1,a2,a3,a4,a6] |
Generators |
[-5:40:1] |
Generators of the group modulo torsion |
j |
23912763841/13039680 |
j-invariant |
L |
5.3775638935332 |
L(r)(E,1)/r! |
Ω |
0.81879069693874 |
Real period |
R |
1.6419226239999 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000002796 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
23970u1 |
Quadratic twists by: 5 |