Atkin-Lehner |
2- 3- 11- 31- |
Signs for the Atkin-Lehner involutions |
Class |
126852n |
Isogeny class |
Conductor |
126852 |
Conductor |
∏ cp |
20 |
Product of Tamagawa factors cp |
Δ |
6680389307505408 = 28 · 35 · 112 · 316 |
Discriminant |
Eigenvalues |
2- 3- 2 2 11- -6 4 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-1241932,-533114572] |
[a1,a2,a3,a4,a6] |
Generators |
[627752330662:4791083235255:478211768] |
Generators of the group modulo torsion |
j |
932410994128/29403 |
j-invariant |
L |
11.548505377721 |
L(r)(E,1)/r! |
Ω |
0.14301312379393 |
Real period |
R |
16.150273427779 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000097465 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
132b2 |
Quadratic twists by: -31 |