Atkin-Lehner |
2- 5- 73- |
Signs for the Atkin-Lehner involutions |
Class |
23360bb |
Isogeny class |
Conductor |
23360 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
155136 |
Modular degree for the optimal curve |
Δ |
-83265625000000 = -1 · 26 · 512 · 732 |
Discriminant |
Eigenvalues |
2- 0 5- -2 -2 6 -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-380207,-90236744] |
[a1,a2,a3,a4,a6] |
j |
-94973854331628995904/1301025390625 |
j-invariant |
L |
0.57678694943917 |
L(r)(E,1)/r! |
Ω |
0.096131158239867 |
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 |
23360ba1 11680b2 116800bl1 |
Quadratic twists by: -4 8 5 |