Atkin-Lehner |
2+ 3- 13+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
65598g |
Isogeny class |
Conductor |
65598 |
Conductor |
∏ cp |
40 |
Product of Tamagawa factors cp |
deg |
33600 |
Modular degree for the optimal curve |
Δ |
-4006332252 = -1 · 22 · 35 · 132 · 293 |
Discriminant |
Eigenvalues |
2+ 3- 2 0 0 13+ -2 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-105,3064] |
[a1,a2,a3,a4,a6] |
Generators |
[-4:60:1] |
Generators of the group modulo torsion |
j |
-5177717/164268 |
j-invariant |
L |
6.5938220055411 |
L(r)(E,1)/r! |
Ω |
1.1608951028802 |
Real period |
R |
0.56799464385245 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000662 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
65598w1 |
Quadratic twists by: 29 |