Atkin-Lehner |
2- 7- 11- 23- |
Signs for the Atkin-Lehner involutions |
Class |
81466bn |
Isogeny class |
Conductor |
81466 |
Conductor |
∏ cp |
28 |
Product of Tamagawa factors cp |
deg |
827904 |
Modular degree for the optimal curve |
Δ |
123376887176343724 = 22 · 77 · 11 · 237 |
Discriminant |
Eigenvalues |
2- -1 1 7- 11- 3 2 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-468705,122151763] |
[a1,a2,a3,a4,a6] |
Generators |
[151:7330:1] |
Generators of the group modulo torsion |
j |
76922876001889/833425516 |
j-invariant |
L |
9.822314591333 |
L(r)(E,1)/r! |
Ω |
0.33198775189574 |
Real period |
R |
1.0566563004534 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999993292 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
3542j1 |
Quadratic twists by: -23 |