Atkin-Lehner |
3- 7+ 13+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
55419f |
Isogeny class |
Conductor |
55419 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
34272 |
Modular degree for the optimal curve |
Δ |
6519989931 = 3 · 78 · 13 · 29 |
Discriminant |
Eigenvalues |
1 3- -1 7+ 3 13+ -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-1594,-24307] |
[a1,a2,a3,a4,a6] |
Generators |
[-1308957:1530452:59319] |
Generators of the group modulo torsion |
j |
77626969/1131 |
j-invariant |
L |
7.6832655265758 |
L(r)(E,1)/r! |
Ω |
0.75629864246179 |
Real period |
R |
10.159036516987 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000077 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
55419c1 |
Quadratic twists by: -7 |