Atkin-Lehner |
2+ 17+ 59+ |
Signs for the Atkin-Lehner involutions |
Class |
64192c |
Isogeny class |
Conductor |
64192 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
61440 |
Modular degree for the optimal curve |
Δ |
-972464635904 = -1 · 214 · 172 · 593 |
Discriminant |
Eigenvalues |
2+ 1 3 -3 4 0 17+ -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-1009,-49361] |
[a1,a2,a3,a4,a6] |
Generators |
[705:18712:1] |
Generators of the group modulo torsion |
j |
-6940769488/59354531 |
j-invariant |
L |
8.7743538625918 |
L(r)(E,1)/r! |
Ω |
0.37177498142153 |
Real period |
R |
5.9003122191696 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999312 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
64192bw1 8024l1 |
Quadratic twists by: -4 8 |