Atkin-Lehner |
2- 3+ 7+ 47- |
Signs for the Atkin-Lehner involutions |
Class |
63168cc |
Isogeny class |
Conductor |
63168 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
81920 |
Modular degree for the optimal curve |
Δ |
-990247845888 = -1 · 216 · 38 · 72 · 47 |
Discriminant |
Eigenvalues |
2- 3+ 0 7+ 6 -4 -2 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,2207,25729] |
[a1,a2,a3,a4,a6] |
Generators |
[5:192:1] |
Generators of the group modulo torsion |
j |
18132345500/15109983 |
j-invariant |
L |
5.2229152436262 |
L(r)(E,1)/r! |
Ω |
0.56882149948733 |
Real period |
R |
2.2954983453088 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000439 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
63168bl1 15792h1 |
Quadratic twists by: -4 8 |