Atkin-Lehner |
2+ 3+ 13+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
65598b |
Isogeny class |
Conductor |
65598 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
-432683883216 = -1 · 24 · 38 · 132 · 293 |
Discriminant |
Eigenvalues |
2+ 3+ -2 -2 -4 13+ 0 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,1839,9765] |
[a1,a2,a3,a4,a6] |
Generators |
[-2:79:1] [2:115:1] |
Generators of the group modulo torsion |
j |
28177720507/17740944 |
j-invariant |
L |
4.9253797954187 |
L(r)(E,1)/r! |
Ω |
0.58447761959647 |
Real period |
R |
2.1067443945978 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000016 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
65598bi2 |
Quadratic twists by: 29 |