Atkin-Lehner |
2- 5+ 7+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
6160g |
Isogeny class |
Conductor |
6160 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
13824 |
Modular degree for the optimal curve |
Δ |
-17407619891200 = -1 · 224 · 52 · 73 · 112 |
Discriminant |
Eigenvalues |
2- 2 5+ 7+ 11- -4 0 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-896,-200704] |
[a1,a2,a3,a4,a6] |
Generators |
[226:3330:1] |
Generators of the group modulo torsion |
j |
-19443408769/4249907200 |
j-invariant |
L |
5.0425500834666 |
L(r)(E,1)/r! |
Ω |
0.30887873664038 |
Real period |
R |
4.081334748317 |
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 |
770f1 24640bt1 55440ec1 30800ca1 |
Quadratic twists by: -4 8 -3 5 |