Atkin-Lehner |
2+ 7- 17- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
51646l |
Isogeny class |
Conductor |
51646 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
221184 |
Modular degree for the optimal curve |
Δ |
1934130344624128 = 218 · 77 · 172 · 31 |
Discriminant |
Eigenvalues |
2+ 0 0 7- 2 -6 17- 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-72382,-7172460] |
[a1,a2,a3,a4,a6] |
Generators |
[-131:286:1] |
Generators of the group modulo torsion |
j |
356476236467625/16439836672 |
j-invariant |
L |
3.5802850593124 |
L(r)(E,1)/r! |
Ω |
0.29189728260752 |
Real period |
R |
3.0663912209783 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000145 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
7378c1 |
Quadratic twists by: -7 |