Atkin-Lehner |
2+ 3- 7- 11+ 47+ |
Signs for the Atkin-Lehner involutions |
Class |
65142g |
Isogeny class |
Conductor |
65142 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
903168 |
Modular degree for the optimal curve |
Δ |
-1681463865580240896 = -1 · 214 · 314 · 73 · 113 · 47 |
Discriminant |
Eigenvalues |
2+ 3- 1 7- 11+ 4 3 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-238194,76834516] |
[a1,a2,a3,a4,a6] |
Generators |
[596:11798:1] |
Generators of the group modulo torsion |
j |
-2050168999123653409/2306534795034624 |
j-invariant |
L |
5.3519712627431 |
L(r)(E,1)/r! |
Ω |
0.24121938880055 |
Real period |
R |
1.8489293396281 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999997332 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
21714j1 |
Quadratic twists by: -3 |