Atkin-Lehner |
2+ 7+ 53+ |
Signs for the Atkin-Lehner involutions |
Class |
39326a |
Isogeny class |
Conductor |
39326 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
12340944 |
Modular degree for the optimal curve |
Δ |
-8.5996506387988E+23 |
Discriminant |
Eigenvalues |
2+ 3 2 7+ -4 -2 -3 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-9369946,-45959955916] |
[a1,a2,a3,a4,a6] |
Generators |
[21157937554153195566378308984741488602119842456350161002602573739636005:-22775414973068958047764147609302526599443446017805877862298157492572406623:18276271894405588166387490554200113949998731087733850713624596049] |
Generators of the group modulo torsion |
j |
-520207137/4917248 |
j-invariant |
L |
8.3363642762704 |
L(r)(E,1)/r! |
Ω |
0.037665291992518 |
Real period |
R |
110.66374154124 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
39326j1 |
Quadratic twists by: 53 |