Atkin-Lehner |
2- 5+ 7- 11+ |
Signs for the Atkin-Lehner involutions |
Class |
123200fq |
Isogeny class |
Conductor |
123200 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
131072 |
Modular degree for the optimal curve |
Δ |
-216832000000 = -1 · 214 · 56 · 7 · 112 |
Discriminant |
Eigenvalues |
2- 2 5+ 7- 11+ 4 0 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-1233,28337] |
[a1,a2,a3,a4,a6] |
Generators |
[56:363:1] |
Generators of the group modulo torsion |
j |
-810448/847 |
j-invariant |
L |
10.99025947072 |
L(r)(E,1)/r! |
Ω |
0.90698607388124 |
Real period |
R |
3.0293352026644 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000093701 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
123200bd1 30800o1 4928w1 |
Quadratic twists by: -4 8 5 |