Atkin-Lehner |
5+ 23- 41+ |
Signs for the Atkin-Lehner involutions |
Class |
23575a |
Isogeny class |
Conductor |
23575 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
48384 |
Modular degree for the optimal curve |
Δ |
5295166015625 = 512 · 232 · 41 |
Discriminant |
Eigenvalues |
-1 0 5+ -2 0 -4 2 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-23980,-1418978] |
[a1,a2,a3,a4,a6] |
j |
97596500046921/338890625 |
j-invariant |
L |
0.76746636616217 |
L(r)(E,1)/r! |
Ω |
0.38373318308111 |
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 |
4715b1 |
Quadratic twists by: 5 |