Atkin-Lehner |
2+ 3- 13+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
72384y |
Isogeny class |
Conductor |
72384 |
Conductor |
∏ cp |
20 |
Product of Tamagawa factors cp |
deg |
4193280 |
Modular degree for the optimal curve |
Δ |
-1.9497263049498E+20 |
Discriminant |
Eigenvalues |
2+ 3- 4 4 1 13+ -7 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,373279,-665923713] |
[a1,a2,a3,a4,a6] |
j |
21942358211971079/743761560420918 |
j-invariant |
L |
6.8945846335742 |
L(r)(E,1)/r! |
Ω |
0.086182308029397 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
72384br1 2262c1 |
Quadratic twists by: -4 8 |