Atkin-Lehner |
2- 3+ 11+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
63162bj |
Isogeny class |
Conductor |
63162 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
55296 |
Modular degree for the optimal curve |
Δ |
483568272 = 24 · 33 · 113 · 292 |
Discriminant |
Eigenvalues |
2- 3+ -4 -2 11+ 0 2 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-1277,17845] |
[a1,a2,a3,a4,a6] |
Generators |
[25:20:1] [-34:1231:8] |
Generators of the group modulo torsion |
j |
6403769793/13456 |
j-invariant |
L |
11.447259742371 |
L(r)(E,1)/r! |
Ω |
1.6617882912707 |
Real period |
R |
0.8610648391948 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999827 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
63162e1 63162f1 |
Quadratic twists by: -3 -11 |