Atkin-Lehner |
2- 3+ 11+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
63162bh |
Isogeny class |
Conductor |
63162 |
Conductor |
∏ cp |
92 |
Product of Tamagawa factors cp |
deg |
158976 |
Modular degree for the optimal curve |
Δ |
-8742380765184 = -1 · 223 · 33 · 113 · 29 |
Discriminant |
Eigenvalues |
2- 3+ -1 -5 11+ -3 -4 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,4432,-86765] |
[a1,a2,a3,a4,a6] |
Generators |
[157:-2191:1] [47:449:1] |
Generators of the group modulo torsion |
j |
267961876623/243269632 |
j-invariant |
L |
12.42074389601 |
L(r)(E,1)/r! |
Ω |
0.40202230872975 |
Real period |
R |
0.33582237327324 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999839 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
63162b1 63162d1 |
Quadratic twists by: -3 -11 |