Atkin-Lehner |
3- 7- 17- 53- |
Signs for the Atkin-Lehner involutions |
Class |
56763q |
Isogeny class |
Conductor |
56763 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
24576 |
Modular degree for the optimal curve |
Δ |
-6331174731 = -1 · 310 · 7 · 172 · 53 |
Discriminant |
Eigenvalues |
0 3- 1 7- -1 4 17- -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-822,-9846] |
[a1,a2,a3,a4,a6] |
Generators |
[164:2065:1] |
Generators of the group modulo torsion |
j |
-84258095104/8684739 |
j-invariant |
L |
5.6151340548394 |
L(r)(E,1)/r! |
Ω |
0.44322636592835 |
Real period |
R |
1.5835965790987 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000063 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
18921g1 |
Quadratic twists by: -3 |