Atkin-Lehner |
2- 5- 11+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
63580i |
Isogeny class |
Conductor |
63580 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
31104 |
Modular degree for the optimal curve |
Δ |
-2461817600 = -1 · 28 · 52 · 113 · 172 |
Discriminant |
Eigenvalues |
2- -1 5- 4 11+ -4 17+ 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-45,-2375] |
[a1,a2,a3,a4,a6] |
Generators |
[15:10:1] |
Generators of the group modulo torsion |
j |
-139264/33275 |
j-invariant |
L |
5.6823745201541 |
L(r)(E,1)/r! |
Ω |
0.64703610479343 |
Real period |
R |
1.463693313216 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000319 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
63580g1 |
Quadratic twists by: 17 |