Atkin-Lehner |
3- 5+ 7- 13- 29- |
Signs for the Atkin-Lehner involutions |
Class |
118755g |
Isogeny class |
Conductor |
118755 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
147456 |
Modular degree for the optimal curve |
Δ |
95681734785 = 36 · 5 · 74 · 13 · 292 |
Discriminant |
Eigenvalues |
-1 3- 5+ 7- -2 13- -6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-10103,393086] |
[a1,a2,a3,a4,a6] |
Generators |
[48:106:1] |
Generators of the group modulo torsion |
j |
156425280396841/131250665 |
j-invariant |
L |
3.3857971964375 |
L(r)(E,1)/r! |
Ω |
1.0603789082445 |
Real period |
R |
0.79825172818154 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000036339 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
13195i1 |
Quadratic twists by: -3 |