Atkin-Lehner |
2- 11+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
63536w |
Isogeny class |
Conductor |
63536 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
95040 |
Modular degree for the optimal curve |
Δ |
-1730535686704 = -1 · 24 · 112 · 197 |
Discriminant |
Eigenvalues |
2- 2 2 0 11+ -4 -2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,963,-62560] |
[a1,a2,a3,a4,a6] |
Generators |
[1939326000:7685168716:52734375] |
Generators of the group modulo torsion |
j |
131072/2299 |
j-invariant |
L |
10.12448196446 |
L(r)(E,1)/r! |
Ω |
0.40885716894525 |
Real period |
R |
12.381441165758 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999994783 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
15884l1 3344f1 |
Quadratic twists by: -4 -19 |