Atkin-Lehner |
2- 5- 23- |
Signs for the Atkin-Lehner involutions |
Class |
42320bd |
Isogeny class |
Conductor |
42320 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
23040 |
Modular degree for the optimal curve |
Δ |
-121670000 = -1 · 24 · 54 · 233 |
Discriminant |
Eigenvalues |
2- 3 5- 2 2 -1 -6 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,23,-529] |
[a1,a2,a3,a4,a6] |
j |
6912/625 |
j-invariant |
L |
7.074565012849 |
L(r)(E,1)/r! |
Ω |
0.88432062662948 |
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 |
10580o1 42320r1 |
Quadratic twists by: -4 -23 |