Atkin-Lehner |
2+ 3- 13- 17+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
115362i |
Isogeny class |
Conductor |
115362 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
147456 |
Modular degree for the optimal curve |
Δ |
-419821698816 = -1 · 28 · 39 · 132 · 17 · 29 |
Discriminant |
Eigenvalues |
2+ 3- -2 -2 -2 13- 17+ -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,1872,0] |
[a1,a2,a3,a4,a6] |
Generators |
[13:156:1] [16:176:1] |
Generators of the group modulo torsion |
j |
994908665087/575887104 |
j-invariant |
L |
6.8826101269517 |
L(r)(E,1)/r! |
Ω |
0.56486413409039 |
Real period |
R |
6.0922704375673 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999945221 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
38454k1 |
Quadratic twists by: -3 |