Atkin-Lehner |
2+ 13+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
5746d |
Isogeny class |
Conductor |
5746 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
1774080 |
Modular degree for the optimal curve |
Δ |
8.2099031627004E+23 |
Discriminant |
Eigenvalues |
2+ 2 -4 4 2 13+ 17+ 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-24496722,16644233780] |
[a1,a2,a3,a4,a6] |
Generators |
[-18110232620883489:709852588420302500:3931594053687] |
Generators of the group modulo torsion |
j |
336811992790162430449/170089663019614208 |
j-invariant |
L |
3.64772995768 |
L(r)(E,1)/r! |
Ω |
0.078929244000964 |
Real period |
R |
23.107594680848 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
45968m1 51714y1 442e1 97682g1 |
Quadratic twists by: -4 -3 13 17 |