Atkin-Lehner |
2- 5+ 7- 17- |
Signs for the Atkin-Lehner involutions |
Class |
23800h |
Isogeny class |
Conductor |
23800 |
Conductor |
∏ cp |
28 |
Product of Tamagawa factors cp |
deg |
247296 |
Modular degree for the optimal curve |
Δ |
-3217055196320000000 = -1 · 211 · 57 · 72 · 177 |
Discriminant |
Eigenvalues |
2- 1 5+ 7- 2 -1 17- 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-163408,-90017312] |
[a1,a2,a3,a4,a6] |
j |
-15079826167058/100532974885 |
j-invariant |
L |
2.9575999294378 |
L(r)(E,1)/r! |
Ω |
0.10562856890849 |
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 |
47600d1 4760a1 |
Quadratic twists by: -4 5 |