Atkin-Lehner |
11+ 13+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
120263c |
Isogeny class |
Conductor |
120263 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
-883531788531821 = -1 · 118 · 132 · 293 |
Discriminant |
Eigenvalues |
1 0 -2 2 11+ 13+ 0 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-114838,15075645] |
[a1,a2,a3,a4,a6] |
Generators |
[-388:1247:1] [196:163:1] |
Generators of the group modulo torsion |
j |
-6867342479986533/36226650889 |
j-invariant |
L |
12.274251455244 |
L(r)(E,1)/r! |
Ω |
0.50161006011468 |
Real period |
R |
12.234853752077 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000002523 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
120263e2 |
Quadratic twists by: 29 |