Atkin-Lehner |
5- 7- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
41405o |
Isogeny class |
Conductor |
41405 |
Conductor |
∏ cp |
60 |
Product of Tamagawa factors cp |
deg |
1347840 |
Modular degree for the optimal curve |
Δ |
-1.0286774041581E+20 |
Discriminant |
Eigenvalues |
-1 -1 5- 7- -4 13+ 7 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-3043440,2099781172] |
[a1,a2,a3,a4,a6] |
Generators |
[8182:720496:1] |
Generators of the group modulo torsion |
j |
-32485001809/1071875 |
j-invariant |
L |
2.9954520411319 |
L(r)(E,1)/r! |
Ω |
0.1877975478469 |
Real period |
R |
0.26584053550164 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000003 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
5915b1 41405e1 |
Quadratic twists by: -7 13 |