Atkin-Lehner |
2+ 3+ 17- 83+ |
Signs for the Atkin-Lehner involutions |
Class |
33864c |
Isogeny class |
Conductor |
33864 |
Conductor |
∏ cp |
88 |
Product of Tamagawa factors cp |
deg |
946176 |
Modular degree for the optimal curve |
Δ |
-5.8984949472311E+19 |
Discriminant |
Eigenvalues |
2+ 3+ -1 -2 -4 -2 17- -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-554001,402340437] |
[a1,a2,a3,a4,a6] |
Generators |
[-633:22338:1] [13137:1503378:1] |
Generators of the group modulo torsion |
j |
-73454122800124417024/230409958876216659 |
j-invariant |
L |
6.5096661732819 |
L(r)(E,1)/r! |
Ω |
0.1736791315814 |
Real period |
R |
0.42592036572434 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
67728i1 101592i1 |
Quadratic twists by: -4 -3 |