Atkin-Lehner |
2- 3+ 7- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
81144be |
Isogeny class |
Conductor |
81144 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
19968 |
Modular degree for the optimal curve |
Δ |
-31159296 = -1 · 210 · 33 · 72 · 23 |
Discriminant |
Eigenvalues |
2- 3+ -3 7- -4 3 3 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,21,-266] |
[a1,a2,a3,a4,a6] |
Generators |
[11:36:1] |
Generators of the group modulo torsion |
j |
756/23 |
j-invariant |
L |
4.6512497737402 |
L(r)(E,1)/r! |
Ω |
1.0059015164348 |
Real period |
R |
1.155990347673 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999976501 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
81144h1 81144y1 |
Quadratic twists by: -3 -7 |