Atkin-Lehner |
3- 13+ 43- |
Signs for the Atkin-Lehner involutions |
Class |
65403o |
Isogeny class |
Conductor |
65403 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
4582656 |
Modular degree for the optimal curve |
Δ |
-9.9066173252897E+21 |
Discriminant |
Eigenvalues |
-2 3- -2 0 1 13+ 2 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-4356651,-5931484218] |
[a1,a2,a3,a4,a6] |
Generators |
[24002018218677389:2466938254426205161:2180311435063] |
Generators of the group modulo torsion |
j |
-15378276978688/16659081027 |
j-invariant |
L |
2.7322686116417 |
L(r)(E,1)/r! |
Ω |
0.050108945458779 |
Real period |
R |
27.263281901325 |
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 |
21801i1 65403n1 |
Quadratic twists by: -3 13 |