Atkin-Lehner |
3- 7+ 37- 47+ |
Signs for the Atkin-Lehner involutions |
Class |
109557k |
Isogeny class |
Conductor |
109557 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
20482560 |
Modular degree for the optimal curve |
Δ |
-4.4916909403145E+22 |
Discriminant |
Eigenvalues |
0 3- 1 7+ 2 -1 6 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-793501392,-8603396888072] |
[a1,a2,a3,a4,a6] |
Generators |
[61859959150735625480394999178644456859502:10204068750611354504907956906787661677710217:1298182553186049386845313905444901752] |
Generators of the group modulo torsion |
j |
-75794774056299878301275521024/61614416190870425939 |
j-invariant |
L |
5.3034925603337 |
L(r)(E,1)/r! |
Ω |
0.014222718504813 |
Real period |
R |
62.148134790348 |
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 |
12173c1 |
Quadratic twists by: -3 |