Atkin-Lehner |
2+ 3+ 5+ 43+ |
Signs for the Atkin-Lehner involutions |
Class |
123840f |
Isogeny class |
Conductor |
123840 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
1769472 |
Modular degree for the optimal curve |
Δ |
2250966564864000000 = 226 · 33 · 56 · 433 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ -4 0 -2 -6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-446028,89079152] |
[a1,a2,a3,a4,a6] |
Generators |
[776:14500:1] |
Generators of the group modulo torsion |
j |
1386456968640843/318028000000 |
j-invariant |
L |
3.604515223268 |
L(r)(E,1)/r! |
Ω |
0.24438908760208 |
Real period |
R |
3.6872710252341 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000046813 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
123840dv1 3870d1 123840u3 |
Quadratic twists by: -4 8 -3 |