Atkin-Lehner |
2+ 3+ 5+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
110400o |
Isogeny class |
Conductor |
110400 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
1225728 |
Modular degree for the optimal curve |
Δ |
-75309291166924800 = -1 · 215 · 33 · 52 · 237 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ -3 0 -2 7 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-843073,-297963263] |
[a1,a2,a3,a4,a6] |
Generators |
[1847196077:48446639784:1295029] |
Generators of the group modulo torsion |
j |
-80896517556407240/91930287069 |
j-invariant |
L |
4.8529762472332 |
L(r)(E,1)/r! |
Ω |
0.078772318888956 |
Real period |
R |
15.401908737151 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999960988 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
110400ec1 55200cg1 110400ff1 |
Quadratic twists by: -4 8 5 |