Atkin-Lehner |
2- 5- 73- |
Signs for the Atkin-Lehner involutions |
Class |
23360z |
Isogeny class |
Conductor |
23360 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
-139696537600000000 = -1 · 226 · 58 · 732 |
Discriminant |
Eigenvalues |
2- 0 5- 2 2 -2 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,26548,17905296] |
[a1,a2,a3,a4,a6] |
j |
7893674555031/532900000000 |
j-invariant |
L |
1.9967582091744 |
L(r)(E,1)/r! |
Ω |
0.24959477614681 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
23360i2 5840c2 116800bn2 |
Quadratic twists by: -4 8 5 |