Atkin-Lehner |
2+ 23+ 43+ |
Signs for the Atkin-Lehner involutions |
Class |
63296c |
Isogeny class |
Conductor |
63296 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
307200 |
Modular degree for the optimal curve |
Δ |
-18573233682907136 = -1 · 226 · 235 · 43 |
Discriminant |
Eigenvalues |
2+ 1 -2 2 5 3 0 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,991,-6556609] |
[a1,a2,a3,a4,a6] |
Generators |
[4637367330459:113800667674508:7518017079] |
Generators of the group modulo torsion |
j |
410172407/70851263744 |
j-invariant |
L |
7.5044173389621 |
L(r)(E,1)/r! |
Ω |
0.17803489540703 |
Real period |
R |
21.07569227315 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
63296x1 1978a1 |
Quadratic twists by: -4 8 |