Atkin-Lehner |
2+ 3- 5+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
20400x |
Isogeny class |
Conductor |
20400 |
Conductor |
∏ cp |
20 |
Product of Tamagawa factors cp |
deg |
161280 |
Modular degree for the optimal curve |
Δ |
-23317558593750000 = -1 · 24 · 35 · 513 · 173 |
Discriminant |
Eigenvalues |
2+ 3- 5+ -3 1 6 17+ 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-71008,-10368637] |
[a1,a2,a3,a4,a6] |
j |
-158384129218816/93270234375 |
j-invariant |
L |
2.8476608483112 |
L(r)(E,1)/r! |
Ω |
0.14238304241556 |
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 |
10200b1 81600fr1 61200by1 4080j1 |
Quadratic twists by: -4 8 -3 5 |