Atkin-Lehner |
3+ 5+ 7+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
47775b |
Isogeny class |
Conductor |
47775 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
26732160 |
Modular degree for the optimal curve |
Δ |
-1.1220283427055E+28 |
Discriminant |
Eigenvalues |
-1 3+ 5+ 7+ 0 13+ -2 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,398095697,4077685984826] |
[a1,a2,a3,a4,a6] |
Generators |
[904805289840307740867159826510954:276815349952792458250717923040065072:10176600076435135560067849601] |
Generators of the group modulo torsion |
j |
48412981936758748562855/77853743274432041397 |
j-invariant |
L |
2.9728248964899 |
L(r)(E,1)/r! |
Ω |
0.027539189883694 |
Real period |
R |
53.974443493889 |
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 |
47775da1 47775cq1 |
Quadratic twists by: 5 -7 |