Atkin-Lehner |
2- 7- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
56644k |
Isogeny class |
Conductor |
56644 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
616896 |
Modular degree for the optimal curve |
Δ |
-11063774525664112 = -1 · 24 · 73 · 1710 |
Discriminant |
Eigenvalues |
2- 2 2 7- -4 4 17+ 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-194882,-33433147] |
[a1,a2,a3,a4,a6] |
Generators |
[2530893029974086281496778237639:54128678217213762198012671254371:3292974183203841652238612989] |
Generators of the group modulo torsion |
j |
-73984 |
j-invariant |
L |
10.943293293187 |
L(r)(E,1)/r! |
Ω |
0.11352126181794 |
Real period |
R |
48.199311379825 |
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 |
56644m1 56644u1 |
Quadratic twists by: -7 17 |