Atkin-Lehner |
3- 13+ 43- |
Signs for the Atkin-Lehner involutions |
Class |
65403n |
Isogeny class |
Conductor |
65403 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
352512 |
Modular degree for the optimal curve |
Δ |
-2052415441607427 = -1 · 324 · 132 · 43 |
Discriminant |
Eigenvalues |
2 3- 2 0 -1 13+ 2 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-25779,-2699811] |
[a1,a2,a3,a4,a6] |
Generators |
[254884015990130819526440470:5034353988276212376025709159:555154244240582206583000] |
Generators of the group modulo torsion |
j |
-15378276978688/16659081027 |
j-invariant |
L |
15.062110766484 |
L(r)(E,1)/r! |
Ω |
0.18067037221106 |
Real period |
R |
41.683953440049 |
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 |
21801j1 65403o1 |
Quadratic twists by: -3 13 |