Atkin-Lehner |
2- 3+ 5+ 11+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
112200bn |
Isogeny class |
Conductor |
112200 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
276480 |
Modular degree for the optimal curve |
Δ |
4615908000000 = 28 · 3 · 56 · 113 · 172 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 4 11+ -2 17- -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-32708,2285412] |
[a1,a2,a3,a4,a6] |
Generators |
[52:850:1] |
Generators of the group modulo torsion |
j |
967473250000/1153977 |
j-invariant |
L |
6.7309782268836 |
L(r)(E,1)/r! |
Ω |
0.77063321389925 |
Real period |
R |
2.1835868561235 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999997524 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
4488d1 |
Quadratic twists by: 5 |