Atkin-Lehner |
2- 3+ 5+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
110400gr |
Isogeny class |
Conductor |
110400 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
55296 |
Modular degree for the optimal curve |
Δ |
-1035000000 = -1 · 26 · 32 · 57 · 23 |
Discriminant |
Eigenvalues |
2- 3+ 5+ -3 -4 0 3 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-133,-1613] |
[a1,a2,a3,a4,a6] |
Generators |
[22:75:1] |
Generators of the group modulo torsion |
j |
-262144/1035 |
j-invariant |
L |
3.2134852969197 |
L(r)(E,1)/r! |
Ω |
0.6414129209494 |
Real period |
R |
1.2525025664722 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999324391 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
110400dd1 27600db1 22080cy1 |
Quadratic twists by: -4 8 5 |