Atkin-Lehner |
2+ 3+ 5+ 7- 19- |
Signs for the Atkin-Lehner involutions |
Class |
63840f |
Isogeny class |
Conductor |
63840 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
36864 |
Modular degree for the optimal curve |
Δ |
2292494400 = 26 · 34 · 52 · 72 · 192 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 7- -4 -6 -2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-586,-4760] |
[a1,a2,a3,a4,a6] |
Generators |
[-12:20:1] |
Generators of the group modulo torsion |
j |
348319262656/35820225 |
j-invariant |
L |
3.2536447528052 |
L(r)(E,1)/r! |
Ω |
0.97664535987756 |
Real period |
R |
1.6657247793208 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999990525 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
63840bq1 127680da2 |
Quadratic twists by: -4 8 |