Atkin-Lehner |
2- 23- 59+ |
Signs for the Atkin-Lehner involutions |
Class |
86848v |
Isogeny class |
Conductor |
86848 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
18432 |
Modular degree for the optimal curve |
Δ |
-1022722048 = -1 · 215 · 232 · 59 |
Discriminant |
Eigenvalues |
2- 0 -2 -1 3 -1 -3 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,244,464] |
[a1,a2,a3,a4,a6] |
Generators |
[16:92:1] |
Generators of the group modulo torsion |
j |
49027896/31211 |
j-invariant |
L |
4.0333817405107 |
L(r)(E,1)/r! |
Ω |
0.96985320051927 |
Real period |
R |
1.0396887237001 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999989124 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
86848t1 43424c1 |
Quadratic twists by: -4 8 |