Atkin-Lehner |
2+ 3- 17- 61- |
Signs for the Atkin-Lehner involutions |
Class |
6222c |
Isogeny class |
Conductor |
6222 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
12288 |
Modular degree for the optimal curve |
Δ |
-7402487616 = -1 · 26 · 38 · 172 · 61 |
Discriminant |
Eigenvalues |
2+ 3- -3 -3 -3 -5 17- -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-3970,96020] |
[a1,a2,a3,a4,a6] |
Generators |
[527527748:3463501564:25153757] [-51:433:1] |
Generators of the group modulo torsion |
j |
-6917321625184153/7402487616 |
j-invariant |
L |
3.7595612177868 |
L(r)(E,1)/r! |
Ω |
1.3160221784977 |
Real period |
R |
0.089273790347526 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999949 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
49776k1 18666h1 105774b1 |
Quadratic twists by: -4 -3 17 |