Atkin-Lehner |
2+ 3+ 11+ 37+ |
Signs for the Atkin-Lehner involutions |
Class |
78144d |
Isogeny class |
Conductor |
78144 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
801687771700789248 = 224 · 36 · 116 · 37 |
Discriminant |
Eigenvalues |
2+ 3+ 0 -4 11+ 4 -6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-856193,-301590399] |
[a1,a2,a3,a4,a6] |
Generators |
[-1092741:2163864:2197] |
Generators of the group modulo torsion |
j |
264788619837198625/3058196150592 |
j-invariant |
L |
3.2510456648147 |
L(r)(E,1)/r! |
Ω |
0.15705789555058 |
Real period |
R |
10.349832000683 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999943283 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
78144cy2 2442i2 |
Quadratic twists by: -4 8 |