Atkin-Lehner |
2+ 3- 5- 41- |
Signs for the Atkin-Lehner involutions |
Class |
118080cs |
Isogeny class |
Conductor |
118080 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
deg |
1179648 |
Modular degree for the optimal curve |
Δ |
2057970032640000 = 216 · 36 · 54 · 413 |
Discriminant |
Eigenvalues |
2+ 3- 5- 2 4 -4 -2 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-824652,-288231696] |
[a1,a2,a3,a4,a6] |
j |
1298160537477444/43075625 |
j-invariant |
L |
3.8022784686338 |
L(r)(E,1)/r! |
Ω |
0.15842829201752 |
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 |
118080gh1 14760s1 13120a1 |
Quadratic twists by: -4 8 -3 |