Atkin-Lehner |
2- 7- 17- 19- |
Signs for the Atkin-Lehner involutions |
Class |
85918bo |
Isogeny class |
Conductor |
85918 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
36864 |
Modular degree for the optimal curve |
Δ |
-10224242 = -1 · 2 · 72 · 172 · 192 |
Discriminant |
Eigenvalues |
2- 1 2 7- -1 -2 17- 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-1917,32147] |
[a1,a2,a3,a4,a6] |
Generators |
[254:349:8] |
Generators of the group modulo torsion |
j |
-2158226437033/28322 |
j-invariant |
L |
14.213018996048 |
L(r)(E,1)/r! |
Ω |
2.0840757792235 |
Real period |
R |
1.7049546779752 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999163 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
85918o1 |
Quadratic twists by: -19 |