Atkin-Lehner |
2- 7+ 13+ 47- |
Signs for the Atkin-Lehner involutions |
Class |
111202s |
Isogeny class |
Conductor |
111202 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
10160640 |
Modular degree for the optimal curve |
Δ |
-1.1552348937922E+22 |
Discriminant |
Eigenvalues |
2- -2 0 7+ 0 13+ -3 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-42428383,106495436319] |
[a1,a2,a3,a4,a6] |
Generators |
[2912144:1132844043:4096] |
Generators of the group modulo torsion |
j |
-1749979819974227829625/2393371881489862 |
j-invariant |
L |
5.8080757951614 |
L(r)(E,1)/r! |
Ω |
0.12712003408688 |
Real period |
R |
5.7112120586928 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000038797 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
8554f1 |
Quadratic twists by: 13 |