Atkin-Lehner |
2+ 5- 7+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
64400x |
Isogeny class |
Conductor |
64400 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
18432 |
Modular degree for the optimal curve |
Δ |
-206080000 = -1 · 211 · 54 · 7 · 23 |
Discriminant |
Eigenvalues |
2+ 2 5- 7+ -2 5 -5 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-8,-688] |
[a1,a2,a3,a4,a6] |
Generators |
[1730:5094:125] |
Generators of the group modulo torsion |
j |
-50/161 |
j-invariant |
L |
8.9005302324281 |
L(r)(E,1)/r! |
Ω |
0.80793745929317 |
Real period |
R |
5.5081802000894 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000056 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
32200m1 64400q1 |
Quadratic twists by: -4 5 |