Atkin-Lehner |
2- 3- 5- 23- |
Signs for the Atkin-Lehner involutions |
Class |
55200ct |
Isogeny class |
Conductor |
55200 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
81920 |
Modular degree for the optimal curve |
Δ |
-14904000000000 = -1 · 212 · 34 · 59 · 23 |
Discriminant |
Eigenvalues |
2- 3- 5- 1 -4 4 3 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-2333,189963] |
[a1,a2,a3,a4,a6] |
Generators |
[133:1500:1] |
Generators of the group modulo torsion |
j |
-175616/1863 |
j-invariant |
L |
8.0915152353046 |
L(r)(E,1)/r! |
Ω |
0.59721640333231 |
Real period |
R |
0.84679472865053 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000022 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
55200m1 110400cf1 55200n1 |
Quadratic twists by: -4 8 5 |