Atkin-Lehner |
2- 3- 7- 17- |
Signs for the Atkin-Lehner involutions |
Class |
39984dp |
Isogeny class |
Conductor |
39984 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
92160 |
Modular degree for the optimal curve |
Δ |
-348026478342144 = -1 · 212 · 3 · 78 · 173 |
Discriminant |
Eigenvalues |
2- 3- -1 7- -1 -1 17- 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,15419,-507277] |
[a1,a2,a3,a4,a6] |
Generators |
[1654:67473:1] |
Generators of the group modulo torsion |
j |
841232384/722211 |
j-invariant |
L |
6.4431424216192 |
L(r)(E,1)/r! |
Ω |
0.29728509295933 |
Real period |
R |
3.6122129756992 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000002 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
2499f1 119952eo1 5712o1 |
Quadratic twists by: -4 -3 -7 |