Atkin-Lehner |
2- 3- 5+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
110400ic |
Isogeny class |
Conductor |
110400 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
64512 |
Modular degree for the optimal curve |
Δ |
-5850316800 = -1 · 214 · 33 · 52 · 232 |
Discriminant |
Eigenvalues |
2- 3- 5+ -3 2 1 -8 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-133,3683] |
[a1,a2,a3,a4,a6] |
Generators |
[14:69:1] |
Generators of the group modulo torsion |
j |
-640000/14283 |
j-invariant |
L |
6.823940780337 |
L(r)(E,1)/r! |
Ω |
1.1314699687067 |
Real period |
R |
1.0051733560188 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999798654 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
110400bh1 27600e1 110400hi1 |
Quadratic twists by: -4 8 5 |