Atkin-Lehner |
2+ 3+ 5- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
55200m |
Isogeny class |
Conductor |
55200 |
Conductor |
∏ cp |
8 |
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] |
j |
-175616/1863 |
j-invariant |
L |
2.3830915686373 |
L(r)(E,1)/r! |
Ω |
0.29788644629072 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
55200ct1 110400er1 55200cs1 |
Quadratic twists by: -4 8 5 |