Atkin-Lehner |
2+ 3- 5+ 17- 47+ |
Signs for the Atkin-Lehner involutions |
Class |
119850y |
Isogeny class |
Conductor |
119850 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
460800 |
Modular degree for the optimal curve |
Δ |
-153216240000000 = -1 · 210 · 3 · 57 · 172 · 472 |
Discriminant |
Eigenvalues |
2+ 3- 5+ -2 0 0 17- 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,12724,-221302] |
[a1,a2,a3,a4,a6] |
Generators |
[4148:57819:64] |
Generators of the group modulo torsion |
j |
14582222854991/9805839360 |
j-invariant |
L |
6.3574808613864 |
L(r)(E,1)/r! |
Ω |
0.32794398719899 |
Real period |
R |
2.423234279247 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999952431 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
23970p1 |
Quadratic twists by: 5 |