Atkin-Lehner |
2- 3- 7+ 11- 29- |
Signs for the Atkin-Lehner involutions |
Class |
53592z |
Isogeny class |
Conductor |
53592 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
deg |
98304 |
Modular degree for the optimal curve |
Δ |
-16917705726768 = -1 · 24 · 316 · 7 · 112 · 29 |
Discriminant |
Eigenvalues |
2- 3- -2 7+ 11- -2 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,6001,86562] |
[a1,a2,a3,a4,a6] |
Generators |
[211:3285:1] |
Generators of the group modulo torsion |
j |
1493489719298048/1057356607923 |
j-invariant |
L |
5.7719754577735 |
L(r)(E,1)/r! |
Ω |
0.43985052687892 |
Real period |
R |
3.2806459837189 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000009 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
107184n1 |
Quadratic twists by: -4 |