Atkin-Lehner |
2+ 3+ 5- 23- |
Signs for the Atkin-Lehner involutions |
Class |
110400cg |
Isogeny class |
Conductor |
110400 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
16384 |
Modular degree for the optimal curve |
Δ |
-14904000 = -1 · 26 · 34 · 53 · 23 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 1 -4 4 -3 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-23,-183] |
[a1,a2,a3,a4,a6] |
Generators |
[8:9:1] |
Generators of the group modulo torsion |
j |
-175616/1863 |
j-invariant |
L |
5.1759552153349 |
L(r)(E,1)/r! |
Ω |
0.9419996543721 |
Real period |
R |
1.3736616492323 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000038893 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
110400eq1 55200cs1 110400er1 |
Quadratic twists by: -4 8 5 |