Atkin-Lehner |
2- 3+ 11+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
61248bq |
Isogeny class |
Conductor |
61248 |
Conductor |
∏ cp |
4 |
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 |
[1419:53372:1] |
Generators of the group modulo torsion |
j |
-330512679944/94743 |
j-invariant |
L |
6.2490428742064 |
L(r)(E,1)/r! |
Ω |
0.28970271265812 |
Real period |
R |
5.3926340704483 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999999809 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
61248cm1 30624l1 |
Quadratic twists by: -4 8 |