Atkin-Lehner |
2- 5+ 11+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
45760bc |
Isogeny class |
Conductor |
45760 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
12886016000000 = 219 · 56 · 112 · 13 |
Discriminant |
Eigenvalues |
2- 2 5+ -4 11+ 13+ -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-7041,150305] |
[a1,a2,a3,a4,a6] |
j |
147281603041/49156250 |
j-invariant |
L |
1.3076155023435 |
L(r)(E,1)/r! |
Ω |
0.65380775124107 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
45760i2 11440w2 |
Quadratic twists by: -4 8 |