Atkin-Lehner |
2- 3- 11- 29- |
Signs for the Atkin-Lehner involutions |
Class |
61248cm |
Isogeny class |
Conductor |
61248 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
66048 |
Modular degree for the optimal curve |
Δ |
-3104538624 = -1 · 215 · 33 · 112 · 29 |
Discriminant |
Eigenvalues |
2- 3- 3 1 11- 0 -1 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-4609,118943] |
[a1,a2,a3,a4,a6] |
Generators |
[11:264:1] |
Generators of the group modulo torsion |
j |
-330512679944/94743 |
j-invariant |
L |
10.629349958601 |
L(r)(E,1)/r! |
Ω |
1.3892410744534 |
Real period |
R |
0.31879965957441 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000131 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
61248bq1 30624j1 |
Quadratic twists by: -4 8 |