Atkin-Lehner |
3- 11- 53+ |
Signs for the Atkin-Lehner involutions |
Class |
92697d |
Isogeny class |
Conductor |
92697 |
Conductor |
∏ cp |
28 |
Product of Tamagawa factors cp |
deg |
20514816 |
Modular degree for the optimal curve |
Δ |
-5.5998735410702E+24 |
Discriminant |
Eigenvalues |
1 3- -2 -1 11- -2 -8 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-90904917,-352503298001] |
[a1,a2,a3,a4,a6] |
Generators |
[238697:116405433:1] |
Generators of the group modulo torsion |
j |
-475036666993/32019867 |
j-invariant |
L |
6.1627116596884 |
L(r)(E,1)/r! |
Ω |
0.024352119733314 |
Real period |
R |
9.0380979913774 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000024599 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
92697b1 |
Quadratic twists by: 53 |